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711.0908 | Quasi-invariant and super-coinvariant polynomials for the generalized
symmetric group | The aim of this work is to extend the study of super-coinvariant polynomials,
to the case of the generalized symmetric group $G_{n,m}$, defined as the wreath
product $C_m\wr\S_n$ of the symmetric group by the cyclic group. We define a
quasi-symmetrizing action of $G_{n,m}$ on $\Q[x_1,...,x_n]$, analogous to those
defined by Hivert in the case of $\S_n$. The polynomials invariant under this
action are called quasi-invariant, and we define super-coinvariant polynomials
as polynomials orthogonal, with respect to a given scalar product, to the
quasi-invariant polynomials with no constant term. Our main result is the
description of a Gr\"obner basis for the ideal generated by quasi-invariant
polynomials, from which we dedece that the dimension of the space of
super-coinvariant polynomials is equal to $m^n C_n$ where $C_n$ is the $n$-th
Catalan number.
| math.CO | the aim of this work is to extend the study of supercoinvariant polynomials to the case of the generalized symmetric group g_nm defined as the wreath product c_mwrs_n of the symmetric group by the cyclic group we define a quasisymmetrizing action of g_nm on qx_1x_n analogous to those defined by hivert in the case of s_n the polynomials invariant under this action are called quasiinvariant and we define supercoinvariant polynomials as polynomials orthogonal with respect to a given scalar product to the quasiinvariant polynomials with no constant term our main result is the description of a grobner basis for the ideal generated by quasiinvariant polynomials from which we dedece that the dimension of the space of supercoinvariant polynomials is equal to mn c_n where c_n is the nth catalan number | [['the', 'aim', 'of', 'this', 'work', 'is', 'to', 'extend', 'the', 'study', 'of', 'supercoinvariant', 'polynomials', 'to', 'the', 'case', 'of', 'the', 'generalized', 'symmetric', 'group', 'g_nm', 'defined', 'as', 'the', 'wreath', 'product', 'c_mwrs_n', 'of', 'the', 'symmetric', 'group', 'by', 'the', 'cyclic', 'group', 'we', 'define', 'a', 'quasisymmetrizing', 'action', 'of', 'g_nm', 'on', 'qx_1x_n', 'analogous', 'to', 'those', 'defined', 'by', 'hivert', 'in', 'the', 'case', 'of', 's_n', 'the', 'polynomials', 'invariant', 'under', 'this', 'action', 'are', 'called', 'quasiinvariant', 'and', 'we', 'define', 'supercoinvariant', 'polynomials', 'as', 'polynomials', 'orthogonal', 'with', 'respect', 'to', 'a', 'given', 'scalar', 'product', 'to', 'the', 'quasiinvariant', 'polynomials', 'with', 'no', 'constant', 'term', 'our', 'main', 'result', 'is', 'the', 'description', 'of', 'a', 'grobner', 'basis', 'for', 'the', 'ideal', 'generated', 'by', 'quasiinvariant', 'polynomials', 'from', 'which', 'we', 'dedece', 'that', 'the', 'dimension', 'of', 'the', 'space', 'of', 'supercoinvariant', 'polynomials', 'is', 'equal', 'to', 'mn', 'c_n', 'where', 'c_n', 'is', 'the', 'nth', 'catalan', 'number']] | [-0.19955159972355827, 0.1376233128574127, -0.05686710219771609, 0.006824333169387551, -0.0848174255385291, -0.0840370652699425, -0.015316894919589513, 0.30115723147196327, -0.31123745863831886, -0.1829374910237847, 0.09055067147366615, -0.24107512047030324, -0.160002298807124, 0.1529073135149995, -0.10716605285461259, 0.00324360165363691, -0.01294461213323603, 0.15040926373835037, -0.09666859984991881, -0.28927276035638777, 0.4035549457258303, 0.03330706089357369, 0.2072243460520046, -0.03410904742749848, 0.09369522553509263, 0.0013846649245659666, -0.048566495926361385, -0.03803435205248199, -0.1527502218825219, 0.125234451005602, 0.24214704130504897, 0.1061782630794777, 0.1968787174862553, -0.31642764510484195, -0.08039586019416259, 0.2135941622353445, 0.13137648752193867, -0.018125445964218185, 0.012065986555443681, -0.26890072115792296, 0.098070888384062, -0.20675134248151553, -0.18168458338518897, -0.048002036376379606, 0.03643547570494216, 0.058160504221725536, -0.31059411713325485, 0.007905368941586728, 0.09205798171167298, 0.10828294050989776, -0.017083714919634105, -0.13989248217310846, -0.019482104120570727, 0.07303513963358461, 0.0301508874097091, 0.08210241524172639, 0.04980980839550964, -0.05484347046521588, -0.14194564450271868, 0.43451083964470216, -0.08128335293177075, -0.2740902636478853, 0.08349495135819701, -0.1963762444027839, -0.1666238247490246, 0.08964314415141589, 0.10123170957365256, 0.16292233817924665, -0.041177068131161836, 0.13379252259757032, -0.16650325862148146, 0.04906124650412716, 0.12013943819329143, -0.008125940762188902, 0.0943095647751933, 0.01430533756685304, 0.07690236637163467, 0.2027640838586674, 0.05104918946790707, -0.07010929377778895, -0.31521225381114587, -0.20321489924447625, -0.19856002196801578, 0.11713090816175374, -0.12795283893793802, -0.17891728842821647, 0.4115639704088937, 0.0801450966923373, 0.15099755652807104, 0.12337816538615519, 0.2085190595743635, 0.10833901407354783, 0.07906301103818311, 0.03708675679728741, 0.07903767838399475, 0.23332302525866866, -0.03373527757222599, -0.19183054426134982, 0.0216545675822541, 0.23010720916855054] |
711.0909 | Polyn\^omes quasi-invariants et super-coinvariants pour le groupe
sym\'etrique g\'en\'eralis\'e | A classical result of Artin states that the ideal generated by symmetric
polynomials in $n$ variables is of codimension $n!$. The author, F. Bergeron
and N. Bergeron have recently obtained a surprising analogous in the case of
quasi-symmetric polynomials. In this case, the ideal is of codimension given by
$C_n$, the $n$-th Catalan number. Quasi-symmetric polynomials are the
invariants of a certain action of the symmetric group $S_n$ defined by F.
Hivert. The aim of this work is to generalize these results to the wreath
product $S_n\wr \Z_m$, also known as the generalized symmetric group $G\nm$. We
first define a quasi-symmetrizing action of $G\nm$ on $\C[x_1,...,x_n]$, then
obtain a description of the invariants and the codimension of the associated
ideal, which is $m^n C_n$.
| math.CO | a classical result of artin states that the ideal generated by symmetric polynomials in n variables is of codimension n the author f bergeron and n bergeron have recently obtained a surprising analogous in the case of quasisymmetric polynomials in this case the ideal is of codimension given by c_n the nth catalan number quasisymmetric polynomials are the invariants of a certain action of the symmetric group s_n defined by f hivert the aim of this work is to generalize these results to the wreath product s_nwr z_m also known as the generalized symmetric group gnm we first define a quasisymmetrizing action of gnm on cx_1x_n then obtain a description of the invariants and the codimension of the associated ideal which is mn c_n | [['a', 'classical', 'result', 'of', 'artin', 'states', 'that', 'the', 'ideal', 'generated', 'by', 'symmetric', 'polynomials', 'in', 'n', 'variables', 'is', 'of', 'codimension', 'n', 'the', 'author', 'f', 'bergeron', 'and', 'n', 'bergeron', 'have', 'recently', 'obtained', 'a', 'surprising', 'analogous', 'in', 'the', 'case', 'of', 'quasisymmetric', 'polynomials', 'in', 'this', 'case', 'the', 'ideal', 'is', 'of', 'codimension', 'given', 'by', 'c_n', 'the', 'nth', 'catalan', 'number', 'quasisymmetric', 'polynomials', 'are', 'the', 'invariants', 'of', 'a', 'certain', 'action', 'of', 'the', 'symmetric', 'group', 's_n', 'defined', 'by', 'f', 'hivert', 'the', 'aim', 'of', 'this', 'work', 'is', 'to', 'generalize', 'these', 'results', 'to', 'the', 'wreath', 'product', 's_nwr', 'z_m', 'also', 'known', 'as', 'the', 'generalized', 'symmetric', 'group', 'gnm', 'we', 'first', 'define', 'a', 'quasisymmetrizing', 'action', 'of', 'gnm', 'on', 'cx_1x_n', 'then', 'obtain', 'a', 'description', 'of', 'the', 'invariants', 'and', 'the', 'codimension', 'of', 'the', 'associated', 'ideal', 'which', 'is', 'mn', 'c_n']] | [-0.20347126429461368, 0.13342251726691196, -0.06985258095996166, 0.017046078674237783, -0.049105094670037916, -0.11027768909849787, -0.01907493308852843, 0.2804796752572908, -0.2991552689090008, -0.20016687559493915, 0.058488590050322135, -0.254580054227717, -0.18072920816390192, 0.16078148099283376, -0.10305218522747357, -0.002410279673986076, -0.0025712107724654, 0.14217777474881793, -0.07638639555221832, -0.31896656251141453, 0.38007325485227555, 0.0036986266457801308, 0.20315743377432227, 0.003078315446789308, 0.04289018579311972, -0.019167520601786975, -0.031594639129149234, -0.007714735540917249, -0.17587598131022394, 0.1258912842178422, 0.2697894070600349, 0.0721979203550675, 0.2058554940697987, -0.3406297264666092, -0.11126261580038846, 0.17954690278625132, 0.13440013332746742, -0.007496235033731938, -0.015279300417183193, -0.2662836154657833, 0.09837324107898687, -0.20089384816147812, -0.1981785394576931, -0.029583064668880003, 0.09177929144428391, 0.056792609196731715, -0.2908080005620765, 0.01890971539688781, 0.15787893192600308, 0.0978574493021621, 0.009033905346007124, -0.15137610694666098, -0.061619001906365156, 0.082926108043762, -0.010332316569075352, 0.0818769069411224, 0.04517165017957852, -0.08658135056919683, -0.14617452238557663, 0.3844708364638614, -0.02535680367240334, -0.22665902231706353, 0.0856338924145311, -0.19532867997782533, -0.18519307150906786, 0.08915133532742417, 0.0703019407706532, 0.20346372707830213, -0.022147400259244734, 0.1825542095811977, -0.19714876432047507, 0.04481393972324677, 0.14770583524103692, -0.025981675087648436, 0.1010910097274899, 0.024661484575731966, 0.04093731360366129, 0.2096374466640466, 0.05179028212787523, -0.0015636588734521614, -0.3090032034788311, -0.2102230088633856, -0.22394826214730254, 0.16404520689956542, -0.13817939314611702, -0.1463074526423967, 0.41465777837164036, 0.05965830141638701, 0.16740677439313328, 0.11769385478834099, 0.18975668093303172, 0.06239104923523387, 0.032841010492416174, 0.03011848520093817, 0.0872813505158434, 0.25209081700503283, -0.038696932736183215, -0.15303348057441474, 0.015737251620891134, 0.2650498586320659] |
711.091 | Use of resonance Raman spectroscopy to study the phase diagram of
PbZr0.52Ti0.48O3 | Evidence is presented for the first time that the sharp and continuous
spectral changes observed in PbZr0.52Ti0.48O3 (PZT) between 350 and 10 K with
the 647.1 nm wavelength are due to a resonance Raman effect. Such a phenomenon
can be explained by means of a self-trapped exciton emission oxygen deficient
complex (TiTi' - VO-) of PZT powder whose energy is close to the radiation line
of the laser. This kind of approach should also be very useful to distinguish
the phase transition sequence for other related ferro/ piezoelectric systems.
| cond-mat.mtrl-sci | evidence is presented for the first time that the sharp and continuous spectral changes observed in pbzr052ti048o3 pzt between 350 and 10 k with the 6471 nm wavelength are due to a resonance raman effect such a phenomenon can be explained by means of a selftrapped exciton emission oxygen deficient complex titi vo of pzt powder whose energy is close to the radiation line of the laser this kind of approach should also be very useful to distinguish the phase transition sequence for other related ferro piezoelectric systems | [['evidence', 'is', 'presented', 'for', 'the', 'first', 'time', 'that', 'the', 'sharp', 'and', 'continuous', 'spectral', 'changes', 'observed', 'in', 'pbzr052ti048o3', 'pzt', 'between', '350', 'and', '10', 'k', 'with', 'the', '6471', 'nm', 'wavelength', 'are', 'due', 'to', 'a', 'resonance', 'raman', 'effect', 'such', 'a', 'phenomenon', 'can', 'be', 'explained', 'by', 'means', 'of', 'a', 'selftrapped', 'exciton', 'emission', 'oxygen', 'deficient', 'complex', 'titi', 'vo', 'of', 'pzt', 'powder', 'whose', 'energy', 'is', 'close', 'to', 'the', 'radiation', 'line', 'of', 'the', 'laser', 'this', 'kind', 'of', 'approach', 'should', 'also', 'be', 'very', 'useful', 'to', 'distinguish', 'the', 'phase', 'transition', 'sequence', 'for', 'other', 'related', 'ferro', 'piezoelectric', 'systems']] | [-0.0882971010621325, 0.19980461692268198, -0.047156010468659755, 0.03441612253002611, -0.05348427263511853, -0.15118440842277117, 0.059699953681874, 0.4667278675531799, -0.2777293318543922, -0.30466237461025064, 0.06731848493191964, -0.2683365039569749, -0.10749201735862615, 0.20243547950469126, 0.005092144853816452, 0.001270183125267398, -0.01621181589805267, -0.04200869989158078, -0.012253243124260653, -0.13900379776764152, 0.2712889555312524, 0.04407721297949055, 0.2585114845159379, 0.08789787931759334, -0.0017766391392797232, -0.06827716130646877, 0.07072026306055208, -0.007325686440295117, -0.11427849816432585, 0.07653110228230534, 0.31478617046642204, -0.02313014610924504, 0.19999802391827293, -0.38145782093686814, -0.2090725458269431, 0.07034618727894584, 0.12693539716366847, 0.0860943396427584, -0.05684807572767816, -0.27882873332551256, 0.08547363882561596, -0.0986272263676669, -0.12690168980572542, -0.04253093636891043, 0.022171135915083472, 0.020984601652757687, -0.27304274009921675, 0.0747529519374604, 0.06019754487484037, 0.0849933365243487, -0.09753653925674205, -0.09869121570657378, -0.06837344618344848, 0.057157903671560976, 0.029614650035827337, 0.06671532269286796, 0.15682687195525927, -0.025979890157362785, -0.08589889074739238, 0.39869746271605516, -0.08490674375471743, -0.031793360133220136, 0.1884654444240203, -0.17676338330916638, -0.06436786405340006, 0.24791118408426305, 0.08817137546562166, 0.1360256178357469, -0.13108972304193725, -0.008886057834553701, 0.035003488931000575, 0.24461869658394295, 0.12551799449879167, 0.07040385547919538, 0.23169028783873233, 0.15289045026822184, -0.0021016123778694732, 0.1572513137791909, -0.12587922608839686, -0.007753780101087283, -0.2165011656893925, -0.17524375387636776, -0.19345250017200175, 0.05471498119665987, -0.08858363424389443, -0.1463251713536341, 0.36557008927180007, 0.09543067967222835, 0.1799905970057642, -0.052640943317039106, 0.25251450946829707, 0.11732378584565595, 0.07040171628415753, -0.03571701916040514, 0.2816609493245117, 0.15982074656957676, 0.16395317658316344, -0.26284934718436986, 0.08904320388947698, -0.014613437156764452] |
711.0911 | A heated vapor cell unit for DAVLL in atomic rubidium | The design and performance of a compact heated vapor cell unit for realizing
a dichroic atomic vapor laser lock (DAVLL) for the D2 transitions in atomic
rubidium is described. A 5 cm-long vapor cell is placed in a double-solenoid
arrangement to produce the required magnetic field; the heat from the solenoid
is used to increase the vapor pressure and correspondingly the DAVLL signal. We
have characterized experimentally the dependence of important features of the
DAVLL signal on magnetic field and cell temperature. For the weaker transitions
both the amplitude and gradient of the signal are increased by an order of
magnitude.
| physics.atom-ph | the design and performance of a compact heated vapor cell unit for realizing a dichroic atomic vapor laser lock davll for the d2 transitions in atomic rubidium is described a 5 cmlong vapor cell is placed in a doublesolenoid arrangement to produce the required magnetic field the heat from the solenoid is used to increase the vapor pressure and correspondingly the davll signal we have characterized experimentally the dependence of important features of the davll signal on magnetic field and cell temperature for the weaker transitions both the amplitude and gradient of the signal are increased by an order of magnitude | [['the', 'design', 'and', 'performance', 'of', 'a', 'compact', 'heated', 'vapor', 'cell', 'unit', 'for', 'realizing', 'a', 'dichroic', 'atomic', 'vapor', 'laser', 'lock', 'davll', 'for', 'the', 'd2', 'transitions', 'in', 'atomic', 'rubidium', 'is', 'described', 'a', '5', 'cmlong', 'vapor', 'cell', 'is', 'placed', 'in', 'a', 'doublesolenoid', 'arrangement', 'to', 'produce', 'the', 'required', 'magnetic', 'field', 'the', 'heat', 'from', 'the', 'solenoid', 'is', 'used', 'to', 'increase', 'the', 'vapor', 'pressure', 'and', 'correspondingly', 'the', 'davll', 'signal', 'we', 'have', 'characterized', 'experimentally', 'the', 'dependence', 'of', 'important', 'features', 'of', 'the', 'davll', 'signal', 'on', 'magnetic', 'field', 'and', 'cell', 'temperature', 'for', 'the', 'weaker', 'transitions', 'both', 'the', 'amplitude', 'and', 'gradient', 'of', 'the', 'signal', 'are', 'increased', 'by', 'an', 'order', 'of', 'magnitude']] | [-0.1369158505834639, 0.2181132887363492, 0.0010806286800652742, -0.02932530373102054, 0.017368620773777366, -0.09616160890087486, 0.08748597478261218, 0.4107791718095541, -0.22644883698783816, -0.2781225892715156, 0.08858560089021922, -0.2512381847202778, -0.06876900958362966, 0.1977094931155443, -0.0037703781854361296, 0.026694772164337337, -0.055970190982334314, 0.012226986102759838, -0.011991592550184577, -0.18433517599478363, 0.24486868805950507, 0.06964827852323652, 0.3044521273858845, 0.0690495275054127, 0.11905922484584153, -0.08368278828449548, 0.05328807931859046, 0.00937368362210691, -0.11406129963928834, 0.08151873308117502, 0.2191017086431384, 0.023086456074379383, 0.18769424811005592, -0.4637585248239338, -0.23841402252204716, 0.0755328183528036, 0.101854541846551, 0.10948701975867152, -0.0964800027036108, -0.2488213662058115, 0.026703103403560816, -0.08491691278293728, -0.12176225975970738, -0.04395810367539525, 0.006450177020742558, 0.032556752184173095, -0.31669092929922044, 0.027382395556196572, 0.05820793784223497, 0.13000680333934725, -0.07682188385166228, -0.09722498992457985, -0.0217154152225703, 0.08700186315923929, -0.045462627920787785, 0.08236382441129536, 0.2566900016972795, -0.10788101027719676, -0.05000625551212579, 0.3962211854569614, -0.13010596431442537, -0.11634756506420672, 0.1561351354792714, -0.18200407702475785, -0.021693923582788557, 0.22883418219164015, 0.13644082787446676, 0.05510180559940636, -0.11304748892784118, 0.014045945194156957, 0.030541970832273363, 0.21830359987914563, 0.1617748403432779, 0.046292054406367245, 0.21225965894991533, 0.2123705697339028, 0.06195554793113842, 0.18386208582203836, -0.17280080357333646, -0.040144476629793646, -0.21986771699041127, -0.18342869228683412, -0.1750288994051516, 0.021104542538523674, -0.0767477681481978, -0.13964119656942786, 0.3871092656441033, 0.11527736542746425, 0.17603400750085713, -0.08750057036988437, 0.3376512929191813, 0.12271112594055011, 0.09197677063755691, -0.005947315930388868, 0.266648044353351, 0.19992118650348856, 0.15269398238975554, -0.2761647595628165, 0.05830946047790349, 0.01430172248976305] |
711.0912 | Temperature dependent vibrational spectra in non-crystalline materials:
application to hydrogenated amorphous silicon | We present a novel approach for parameter-free modeling of the structural,
dynamical and electronic properties of non-crystalline materials based on
ab-initio Molecular Dynamics, improved signal processing technique and computer
visualization. The method have been extensively tested by investigating
hydrogen and silicon dynamics in hydrogenated amorphous silicon (a-Si:H). By
comparing the theoretical and experimental vibrational spectra we demonstrate
how to relate vibrational properties to the structural stability, bonding and
hydrogen diffusion. We extracted microscopic characteristics that cannot be
obtained by other techniques, namely hydrogen migration and related bond
switching, dangling bond passivation, low hydrogen activation energy, and
a-Si:H stability in general, and we show, via the analysis of a test case, that
our method provides a rigorous and realistic description of non-crystalline
materials. We also demonstrate that this method offers the possibility of
accessing other important macroscopic characteristics of amorphous silicon and
can be used to model all the aspects of a-Si:H dynamics, including the
detrimental Staebler-Wronski effect.
| cond-mat.mtrl-sci cond-mat.dis-nn | we present a novel approach for parameterfree modeling of the structural dynamical and electronic properties of noncrystalline materials based on abinitio molecular dynamics improved signal processing technique and computer visualization the method have been extensively tested by investigating hydrogen and silicon dynamics in hydrogenated amorphous silicon asih by comparing the theoretical and experimental vibrational spectra we demonstrate how to relate vibrational properties to the structural stability bonding and hydrogen diffusion we extracted microscopic characteristics that cannot be obtained by other techniques namely hydrogen migration and related bond switching dangling bond passivation low hydrogen activation energy and asih stability in general and we show via the analysis of a test case that our method provides a rigorous and realistic description of noncrystalline materials we also demonstrate that this method offers the possibility of accessing other important macroscopic characteristics of amorphous silicon and can be used to model all the aspects of asih dynamics including the detrimental staeblerwronski effect | [['we', 'present', 'a', 'novel', 'approach', 'for', 'parameterfree', 'modeling', 'of', 'the', 'structural', 'dynamical', 'and', 'electronic', 'properties', 'of', 'noncrystalline', 'materials', 'based', 'on', 'abinitio', 'molecular', 'dynamics', 'improved', 'signal', 'processing', 'technique', 'and', 'computer', 'visualization', 'the', 'method', 'have', 'been', 'extensively', 'tested', 'by', 'investigating', 'hydrogen', 'and', 'silicon', 'dynamics', 'in', 'hydrogenated', 'amorphous', 'silicon', 'asih', 'by', 'comparing', 'the', 'theoretical', 'and', 'experimental', 'vibrational', 'spectra', 'we', 'demonstrate', 'how', 'to', 'relate', 'vibrational', 'properties', 'to', 'the', 'structural', 'stability', 'bonding', 'and', 'hydrogen', 'diffusion', 'we', 'extracted', 'microscopic', 'characteristics', 'that', 'can', 'not', 'be', 'obtained', 'by', 'other', 'techniques', 'namely', 'hydrogen', 'migration', 'and', 'related', 'bond', 'switching', 'dangling', 'bond', 'passivation', 'low', 'hydrogen', 'activation', 'energy', 'and', 'asih', 'stability', 'in', 'general', 'and', 'we', 'show', 'via', 'the', 'analysis', 'of', 'a', 'test', 'case', 'that', 'our', 'method', 'provides', 'a', 'rigorous', 'and', 'realistic', 'description', 'of', 'noncrystalline', 'materials', 'we', 'also', 'demonstrate', 'that', 'this', 'method', 'offers', 'the', 'possibility', 'of', 'accessing', 'other', 'important', 'macroscopic', 'characteristics', 'of', 'amorphous', 'silicon', 'and', 'can', 'be', 'used', 'to', 'model', 'all', 'the', 'aspects', 'of', 'asih', 'dynamics', 'including', 'the', 'detrimental', 'staeblerwronski', 'effect']] | [-0.04592194431166671, 0.09338695033677394, -0.09761763217599614, 0.012761773085486898, -0.004968342735267044, -0.14154834427673346, 0.060854767779289165, 0.4338237068061776, -0.275614987036119, -0.3014286834086421, 0.03657479840772863, -0.2751672790161794, -0.21272909137880122, 0.18887285290129743, 0.031047369500834355, 0.08109429362303683, 0.05898445907720848, -0.10047187979769291, -0.04747869288902494, -0.19157596123537426, 0.24433701422914297, 0.09140355757174606, 0.3450060521276031, 0.1366886722183303, 0.043550622410765745, -0.016959364430189038, 0.022328849836205474, 0.0348446159336209, -0.1883552695316085, 0.16965112852262734, 0.24108904327819997, 0.03594869644752456, 0.21535661882025342, -0.51670838347813, -0.2723640544823359, 0.010292011790590572, 0.10765786526748274, 0.15978806767070405, -0.09772847662753531, -0.24298195852573867, 0.08060519327704288, -0.1536958395338417, -0.10295573144427594, -0.16889313800419575, -0.0068651180790996625, 0.037536298972554505, -0.19247624713078706, 0.0757194670973437, 0.02164708073689349, 0.07979257871644406, -0.12063542025199137, -0.14576921731902617, -0.07448262947499516, 0.094725248704464, -0.03003814128519307, -0.07944656227703524, 0.23474788719705672, -0.0732978271317515, -0.11775842784679955, 0.4268817029586887, -0.06916539540257942, -0.14360698866046365, 0.22195929869909217, -0.10785709897828394, -0.13893579815873947, 0.1430549428597847, 0.14010977919679135, 0.10970525662974702, -0.17040611795868865, 0.025445578062259947, 0.0313185880143384, 0.17575932542544412, 0.035847902059248545, 0.0819328322205722, 0.1727497082828438, 0.25680796254449817, -0.019431087639347852, 0.1556296652382611, -0.103652297771135, -0.05934533713859966, -0.18220791358963434, -0.18009242893173064, -0.1858583413796865, 0.04787949161669254, -0.070032184642019, -0.15016827877917432, 0.40941585224899874, 0.16765279706591105, 0.13075152525819744, -0.0462169556177068, 0.28874951524548, 0.048854382046280266, 0.030656348921276062, -0.010131266262806669, 0.25322872371179983, 0.1606830442957934, 0.07423478592175377, -0.28079698310761203, 0.12768725525953253, 0.01701466607731543] |
711.0913 | Generalizations of two theorems of Ritt on decompositions of polynomial
maps | Two theorems of J. F. Ritt on decompositions of polynomials maps are
generalized to a more general situation: for, so-called, reduction monoids
($(K[x], \circ)$ and $(K[x^2]x, \circ)$ are examples of reduction monoids). In
particular, analogues of the two theorems of J. F. Ritt hold for the monoid
$(K[x^2]x, \circ)$ of odd polynomials. It is shown that, in general, the two
theorems of J. F. Ritt fail for the cusp $(K+K[x]x^2, \circ)$ but their
analogues are still true for decompositions of maximal length of regular
elements of the cusp.
| math.AG math.CV | two theorems of j f ritt on decompositions of polynomials maps are generalized to a more general situation for socalled reduction monoids kx circ and kx2x circ are examples of reduction monoids in particular analogues of the two theorems of j f ritt hold for the monoid kx2x circ of odd polynomials it is shown that in general the two theorems of j f ritt fail for the cusp kkxx2 circ but their analogues are still true for decompositions of maximal length of regular elements of the cusp | [['two', 'theorems', 'of', 'j', 'f', 'ritt', 'on', 'decompositions', 'of', 'polynomials', 'maps', 'are', 'generalized', 'to', 'a', 'more', 'general', 'situation', 'for', 'socalled', 'reduction', 'monoids', 'kx', 'circ', 'and', 'kx2x', 'circ', 'are', 'examples', 'of', 'reduction', 'monoids', 'in', 'particular', 'analogues', 'of', 'the', 'two', 'theorems', 'of', 'j', 'f', 'ritt', 'hold', 'for', 'the', 'monoid', 'kx2x', 'circ', 'of', 'odd', 'polynomials', 'it', 'is', 'shown', 'that', 'in', 'general', 'the', 'two', 'theorems', 'of', 'j', 'f', 'ritt', 'fail', 'for', 'the', 'cusp', 'kkxx2', 'circ', 'but', 'their', 'analogues', 'are', 'still', 'true', 'for', 'decompositions', 'of', 'maximal', 'length', 'of', 'regular', 'elements', 'of', 'the', 'cusp']] | [-0.19148946283659077, 0.11178890718694995, -0.048388319758369644, 0.11121135450050454, -0.07081035296706592, -0.1254798860672642, -0.02348266935304684, 0.31971733944819253, -0.35052903176230543, -0.1748349417877548, 0.09360980306861594, -0.3031727215823005, -0.13073407459784955, 0.2791251834591522, -0.09962966072866146, -0.0013792014228837454, -0.013481735082014518, 0.059181570568505454, -0.142191109118764, -0.2648413723293582, 0.36314755419597905, -0.04706690391005181, 0.17060229361625662, 0.009035783513065646, 0.06162068744957009, -0.012965026519754353, -0.05356913694344899, -0.052714286306325124, -0.16806814468179843, 0.09715600801864639, 0.3143318149535095, 0.11149738241973169, 0.22838108569164486, -0.37143695128752907, -0.07494752504588927, 0.21747355624375975, 0.08316428918829735, -0.06792360192493481, 0.030246636759565102, -0.1966018968864399, 0.1132170775466982, -0.11883608488475575, -0.17410083689233835, -0.09137160054901067, 0.15123325736426255, 0.07274134211680468, -0.3104492356452872, 0.06687686043407987, 0.26744328377877963, 0.10697349848444848, -0.0010151425527189584, -0.235473651282818, -0.04287319822127328, 0.06667421225677518, -0.04751114114735495, 0.024792812682469103, 0.06298871505457689, -0.1084946411442669, -0.10754597173894152, 0.34626078859848136, -0.0274272672859404, -0.21564771231702146, 0.11870966047281399, -0.2045548863380271, -0.2181528125437634, 0.09484211376813405, 0.03461007048540256, 0.18232613992603386, -0.05968661709305118, 0.20529778457233025, -0.16211358778836096, 0.023459717331056975, 0.21824779869468117, 0.0495328377617304, 0.10162378582719933, -0.029368956641787115, 0.09632223130149, 0.1133705751860843, 0.03864157213281621, -0.02189328258528429, -0.30365358580122975, -0.18597107368576177, -0.10337926211547764, 0.1091834913172266, -0.1061040932256112, -0.1724050223508932, 0.3397085833856288, 0.07324224587749033, 0.10941068312043653, 0.1292722209740211, 0.17193324917598682, 0.10458981689503964, 0.04233824500868864, 0.0478500407141195, 0.1286644696203225, 0.30639535619959457, -0.004243042226880789, -0.11394397879895919, -0.0003950799651005689, 0.2009842098416651] |
711.0914 | Universal properties of bulk viscosity near the QCD phase transition | We extract the bulk viscosity of hot quark-gluon matter in the presence of
light quarks from the recent lattice data on the QCD equation of state. For
that purpose we extend the sum rule analysis by including the contribution of
light quarks. We also discuss the universal properties of bulk viscosity in the
vicinity of a second order phase transition, as it might occur in the chiral
limit of QCD at fixed strange quark mass and most likely does occur in
two-flavor QCD. We point out that a chiral transition in the O(4) universality
class at zero baryon density as well as the transition at the chiral critical
point which belongs to the Z(2) universality class both lead to the critical
behavior of bulk viscosity. In particular, the latter universality class
implies the divergence of the bulk viscosity, which may be used as a signature
of the critical point. We discuss the physical picture behind the dramatic
increase of bulk viscosity seen in our analysis, and devise possible
experimental tests of related phenomena.
| hep-ph hep-lat nucl-th | we extract the bulk viscosity of hot quarkgluon matter in the presence of light quarks from the recent lattice data on the qcd equation of state for that purpose we extend the sum rule analysis by including the contribution of light quarks we also discuss the universal properties of bulk viscosity in the vicinity of a second order phase transition as it might occur in the chiral limit of qcd at fixed strange quark mass and most likely does occur in twoflavor qcd we point out that a chiral transition in the o4 universality class at zero baryon density as well as the transition at the chiral critical point which belongs to the z2 universality class both lead to the critical behavior of bulk viscosity in particular the latter universality class implies the divergence of the bulk viscosity which may be used as a signature of the critical point we discuss the physical picture behind the dramatic increase of bulk viscosity seen in our analysis and devise possible experimental tests of related phenomena | [['we', 'extract', 'the', 'bulk', 'viscosity', 'of', 'hot', 'quarkgluon', 'matter', 'in', 'the', 'presence', 'of', 'light', 'quarks', 'from', 'the', 'recent', 'lattice', 'data', 'on', 'the', 'qcd', 'equation', 'of', 'state', 'for', 'that', 'purpose', 'we', 'extend', 'the', 'sum', 'rule', 'analysis', 'by', 'including', 'the', 'contribution', 'of', 'light', 'quarks', 'we', 'also', 'discuss', 'the', 'universal', 'properties', 'of', 'bulk', 'viscosity', 'in', 'the', 'vicinity', 'of', 'a', 'second', 'order', 'phase', 'transition', 'as', 'it', 'might', 'occur', 'in', 'the', 'chiral', 'limit', 'of', 'qcd', 'at', 'fixed', 'strange', 'quark', 'mass', 'and', 'most', 'likely', 'does', 'occur', 'in', 'twoflavor', 'qcd', 'we', 'point', 'out', 'that', 'a', 'chiral', 'transition', 'in', 'the', 'o4', 'universality', 'class', 'at', 'zero', 'baryon', 'density', 'as', 'well', 'as', 'the', 'transition', 'at', 'the', 'chiral', 'critical', 'point', 'which', 'belongs', 'to', 'the', 'z2', 'universality', 'class', 'both', 'lead', 'to', 'the', 'critical', 'behavior', 'of', 'bulk', 'viscosity', 'in', 'particular', 'the', 'latter', 'universality', 'class', 'implies', 'the', 'divergence', 'of', 'the', 'bulk', 'viscosity', 'which', 'may', 'be', 'used', 'as', 'a', 'signature', 'of', 'the', 'critical', 'point', 'we', 'discuss', 'the', 'physical', 'picture', 'behind', 'the', 'dramatic', 'increase', 'of', 'bulk', 'viscosity', 'seen', 'in', 'our', 'analysis', 'and', 'devise', 'possible', 'experimental', 'tests', 'of', 'related', 'phenomena']] | [-0.10559288473433756, 0.20295238548168384, -0.12030274239220694, 0.051181321393030915, -0.05428071314000627, -0.07191911893439172, 0.09611853347509841, 0.27096954943622986, -0.22603896897988707, -0.23555369745681567, 0.07528004581795068, -0.30395930075232, -0.1059674624490923, 0.11138225742750343, 0.02961322381241904, 0.08548649365278876, -0.03881126712009074, 0.04618851478733768, -0.11275189076346746, -0.1745535483310602, 0.36267466425378886, -0.017399192257445156, 0.27872924741379096, 0.13661223947880735, 0.010220525049432208, -0.04592387291812742, 0.0019288392834408434, 0.023916988528597388, -0.143718186985702, -0.007931362299216276, 0.22711968037933702, 0.01054253054222878, 0.16320660725946542, -0.3680900711555443, -0.24100533369363344, 0.11596535780531693, 0.12727493037216667, 0.12137969836694958, -0.04486486721767726, -0.23046233334896193, 0.08268431800476819, -0.16590134499626868, -0.21961768913335797, -0.08984805356355847, -0.018769585981028358, -0.03383492890643117, -0.23997822342537387, 0.13721991397256725, 0.052027219738892, 0.013851374952994674, -0.03159492082538546, -0.14726019947859592, -0.06028792099230465, 0.09989354362431375, 0.11381050167777548, 0.0804803892902793, 0.1522615239417148, -0.21661659116679102, -0.10302612890833934, 0.4559663878646114, -0.08234022077774586, -0.10073848466544999, 0.2143726096518144, -0.19622586967626782, -0.16928941706152406, 0.14159313420296749, 0.19015276392873354, 0.1047414863095861, -0.11814294547660847, 0.058820689580877, -0.04872851651444536, 0.13220747524244586, 0.03290136710261506, 0.06473595560178419, 0.283173924026677, 0.1801408059703929, 0.00806649087395282, 0.1381271851506095, -0.07887309764759518, -0.12333984949761959, -0.3865513680058644, -0.14677068130301602, -0.18890162720210377, 0.06756793811642753, -0.1169309987431874, -0.17485574089970463, 0.38205226504303125, 0.1919708857427195, 0.21912177618878295, -0.01158587274819914, 0.2174140871340958, 0.11849022666402861, 0.06815664113278506, 0.06787024870127267, 0.30463247175726804, 0.14602461271660908, 0.1499022506231259, -0.2911259952955812, 0.02513293254073451, 0.1132237146799641] |
711.0915 | The Discrete Fundamental Group of the Order Complex of $B_n$ | A few years ago Kramer and Laubenbacher introduced a discrete notion of
homotopy for simplicial complexes. In this paper, we compute the discrete
fundamental group of the order complex of the Boolean lattice. As it turns out,
it is equivalent to computing the discrete homotopy group of the 1-skeleton of
the permutahedron. To compute this group we introduce combinatorial techniques
that we believe will be helpful in computing discrete fundamental groups of
other polytopes. More precisely, we use the language of words, over the
alphabet of simple transpositions, to obtain conditions that are necessary and
sufficient to characterize the equivalence classes of cycles. The proof
requires only simple combinatorial arguments. As a corollary, we also obtain a
combinatorial proof of the fact that the first Betti number of the complement
of the 3-equal arrangement is equal to $2^{n-3}(n^2-5n+8)-1.$ This formula was
originally obtained by Bj\"orner and Welker in 1995.
| math.CO math.GT | a few years ago kramer and laubenbacher introduced a discrete notion of homotopy for simplicial complexes in this paper we compute the discrete fundamental group of the order complex of the boolean lattice as it turns out it is equivalent to computing the discrete homotopy group of the 1skeleton of the permutahedron to compute this group we introduce combinatorial techniques that we believe will be helpful in computing discrete fundamental groups of other polytopes more precisely we use the language of words over the alphabet of simple transpositions to obtain conditions that are necessary and sufficient to characterize the equivalence classes of cycles the proof requires only simple combinatorial arguments as a corollary we also obtain a combinatorial proof of the fact that the first betti number of the complement of the 3equal arrangement is equal to 2n3n25n81 this formula was originally obtained by bjorner and welker in 1995 | [['a', 'few', 'years', 'ago', 'kramer', 'and', 'laubenbacher', 'introduced', 'a', 'discrete', 'notion', 'of', 'homotopy', 'for', 'simplicial', 'complexes', 'in', 'this', 'paper', 'we', 'compute', 'the', 'discrete', 'fundamental', 'group', 'of', 'the', 'order', 'complex', 'of', 'the', 'boolean', 'lattice', 'as', 'it', 'turns', 'out', 'it', 'is', 'equivalent', 'to', 'computing', 'the', 'discrete', 'homotopy', 'group', 'of', 'the', '1skeleton', 'of', 'the', 'permutahedron', 'to', 'compute', 'this', 'group', 'we', 'introduce', 'combinatorial', 'techniques', 'that', 'we', 'believe', 'will', 'be', 'helpful', 'in', 'computing', 'discrete', 'fundamental', 'groups', 'of', 'other', 'polytopes', 'more', 'precisely', 'we', 'use', 'the', 'language', 'of', 'words', 'over', 'the', 'alphabet', 'of', 'simple', 'transpositions', 'to', 'obtain', 'conditions', 'that', 'are', 'necessary', 'and', 'sufficient', 'to', 'characterize', 'the', 'equivalence', 'classes', 'of', 'cycles', 'the', 'proof', 'requires', 'only', 'simple', 'combinatorial', 'arguments', 'as', 'a', 'corollary', 'we', 'also', 'obtain', 'a', 'combinatorial', 'proof', 'of', 'the', 'fact', 'that', 'the', 'first', 'betti', 'number', 'of', 'the', 'complement', 'of', 'the', '3equal', 'arrangement', 'is', 'equal', 'to', '2n3n25n81', 'this', 'formula', 'was', 'originally', 'obtained', 'by', 'bjorner', 'and', 'welker', 'in', '1995']] | [-0.11878131319995222, 0.06759529850337984, -0.11304600316346908, 0.09963552713640458, -0.12261825275835486, -0.10724124693166033, 0.07929624790930803, 0.33907237137053287, -0.32890541708971166, -0.27390128143486525, 0.10344953241173596, -0.18717354923790816, -0.19156594350807318, 0.18402296749496402, -0.16403827579932756, -0.011359607474561655, 0.03957039692920639, 0.06392832682309608, -0.06195344155810521, -0.30738773858839913, 0.3370623482885409, 0.008657188265628758, 0.20880007286633082, 0.06574919459340321, 0.09989424935244277, 0.008953419562308815, -0.058458489427647115, 0.019817300352305934, -0.1778830126439024, 0.1723605454614272, 0.27268411611922744, 0.12406818361534756, 0.22427753126248717, -0.39144195722682135, -0.12245819649221945, 0.1702509996652299, 0.12766117143260985, 0.08939839225558589, 0.005691961024283609, -0.2393298644230378, 0.14095623807056623, -0.1660876682116872, -0.1287827779504084, -0.08280146086895775, 0.07404802841622204, 0.011278885137923316, -0.2182641827753194, -0.016304019001687934, 0.10404347736375774, 0.09601960272914699, -0.0017052324343041904, -0.0958175915166685, -0.006478996407303985, 0.1270209680696265, -0.004403391510856395, 0.007399947069297056, 0.05811766584144056, -0.049381801519593614, -0.16623403507025064, 0.41181634396922834, 0.013574055020318668, -0.18538438225621168, 0.16449646561305184, -0.11682657273106124, -0.20258556516384896, 0.1272751996523327, 0.08124826065435702, 0.16125167911352756, -0.09744225856119475, 0.12227323038985027, -0.16995458102461938, 0.10740990511325448, 0.12692935045390408, 0.007657005663859804, 0.11267189387561513, 0.11804684564205152, 0.1065968781722342, 0.19348508789208813, 0.016227371689743128, -0.06476709379839907, -0.297341602702378, -0.20738786216318406, -0.1870597581550175, 0.10060900078332495, -0.09329982309059326, -0.17442311882358172, 0.4031917320653087, 0.10532410566371922, 0.14433719075307072, 0.13206132426762915, 0.23739900217283846, 0.07858164182849875, 0.05913802964270723, 0.032234494805614765, 0.14730521583641393, 0.22304548050885145, 0.028163843967977175, -0.1252668934936008, 0.014726072598920286, 0.21152085236584148] |
711.0916 | Monte Carlo simulations of proteins in cages: influence of confinement
on the stability of intermediate states | We present a theoretical study of the folding of small proteins inside
confining potentials. Proteins are described in the framework of an effective
potential model which contains the Ramachandran angles as degrees of freedom
and does not need any {\it a priori} information about the native state.
Hydrogen bonds, dipole-dipole- and hydrophobic interactions are taken
explicitly into account. An interesting feature displayed by this potential is
the presence of some intermediates between the unfolded and native states. We
consider different types of confining potentials in order to study the
structural properties of proteins folding inside cages with repulsive or
attractive walls. Using the Wang-Landau algorithm we determine the density of
states (DOS) and analyze in detail the thermodynamical properties of the
confined proteins for different sizes of the cages. We show that confinement
dramatically reduces the phase space available to the protein and that the
presence of intermediate states can be controlled by varying the properties of
the confining potential. Cages with strongly attractive walls lead to the
disappearance of the intermediate states and to a two-state folding into a less
stable configuration. However, cages with slightly attractive walls make the
native structure more stable than in the case of pure repulsive potentials, and
the folding process occurs through intermediate configurations. In order to
test the metastable states we analyze the free energy landscapes as a function
of the configurational energy and of the end-to-end distance as an order
parameter.
| q-bio.BM q-bio.SC | we present a theoretical study of the folding of small proteins inside confining potentials proteins are described in the framework of an effective potential model which contains the ramachandran angles as degrees of freedom and does not need any it a priori information about the native state hydrogen bonds dipoledipole and hydrophobic interactions are taken explicitly into account an interesting feature displayed by this potential is the presence of some intermediates between the unfolded and native states we consider different types of confining potentials in order to study the structural properties of proteins folding inside cages with repulsive or attractive walls using the wanglandau algorithm we determine the density of states dos and analyze in detail the thermodynamical properties of the confined proteins for different sizes of the cages we show that confinement dramatically reduces the phase space available to the protein and that the presence of intermediate states can be controlled by varying the properties of the confining potential cages with strongly attractive walls lead to the disappearance of the intermediate states and to a twostate folding into a less stable configuration however cages with slightly attractive walls make the native structure more stable than in the case of pure repulsive potentials and the folding process occurs through intermediate configurations in order to test the metastable states we analyze the free energy landscapes as a function of the configurational energy and of the endtoend distance as an order parameter | [['we', 'present', 'a', 'theoretical', 'study', 'of', 'the', 'folding', 'of', 'small', 'proteins', 'inside', 'confining', 'potentials', 'proteins', 'are', 'described', 'in', 'the', 'framework', 'of', 'an', 'effective', 'potential', 'model', 'which', 'contains', 'the', 'ramachandran', 'angles', 'as', 'degrees', 'of', 'freedom', 'and', 'does', 'not', 'need', 'any', 'it', 'a', 'priori', 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0.05147858791072698, -0.2471045679441886, 0.058949025406036526, 0.021767627056882097] |
711.0917 | SWI-Prolog and the Web | Where Prolog is commonly seen as a component in a Web application that is
either embedded or communicates using a proprietary protocol, we propose an
architecture where Prolog communicates to other components in a Web application
using the standard HTTP protocol. By avoiding embedding in external Web servers
development and deployment become much easier. To support this architecture, in
addition to the transfer protocol, we must also support parsing, representing
and generating the key Web document types such as HTML, XML and RDF.
This paper motivates the design decisions in the libraries and extensions to
Prolog for handling Web documents and protocols. The design has been guided by
the requirement to handle large documents efficiently. The described libraries
support a wide range of Web applications ranging from HTML and XML documents to
Semantic Web RDF processing.
To appear in Theory and Practice of Logic Programming (TPLP)
| cs.PL cs.SC | where prolog is commonly seen as a component in a web application that is either embedded or communicates using a proprietary protocol we propose an architecture where prolog communicates to other components in a web application using the standard http protocol by avoiding embedding in external web servers development and deployment become much easier to support this architecture in addition to the transfer protocol we must also support parsing representing and generating the key web document types such as html xml and rdf this paper motivates the design decisions in the libraries and extensions to prolog for handling web documents and protocols the design has been guided by the requirement to handle large documents efficiently the described libraries support a wide range of web applications ranging from html and xml documents to semantic web rdf processing to appear in theory and practice of logic programming tplp | [['where', 'prolog', 'is', 'commonly', 'seen', 'as', 'a', 'component', 'in', 'a', 'web', 'application', 'that', 'is', 'either', 'embedded', 'or', 'communicates', 'using', 'a', 'proprietary', 'protocol', 'we', 'propose', 'an', 'architecture', 'where', 'prolog', 'communicates', 'to', 'other', 'components', 'in', 'a', 'web', 'application', 'using', 'the', 'standard', 'http', 'protocol', 'by', 'avoiding', 'embedding', 'in', 'external', 'web', 'servers', 'development', 'and', 'deployment', 'become', 'much', 'easier', 'to', 'support', 'this', 'architecture', 'in', 'addition', 'to', 'the', 'transfer', 'protocol', 'we', 'must', 'also', 'support', 'parsing', 'representing', 'and', 'generating', 'the', 'key', 'web', 'document', 'types', 'such', 'as', 'html', 'xml', 'and', 'rdf', 'this', 'paper', 'motivates', 'the', 'design', 'decisions', 'in', 'the', 'libraries', 'and', 'extensions', 'to', 'prolog', 'for', 'handling', 'web', 'documents', 'and', 'protocols', 'the', 'design', 'has', 'been', 'guided', 'by', 'the', 'requirement', 'to', 'handle', 'large', 'documents', 'efficiently', 'the', 'described', 'libraries', 'support', 'a', 'wide', 'range', 'of', 'web', 'applications', 'ranging', 'from', 'html', 'and', 'xml', 'documents', 'to', 'semantic', 'web', 'rdf', 'processing', 'to', 'appear', 'in', 'theory', 'and', 'practice', 'of', 'logic', 'programming', 'tplp']] | [-0.11337421362907052, -0.010625697577380964, -0.02623480299730109, 0.06665083580356959, -0.19007711555834297, -0.17175990524574195, 0.05890300570451336, 0.4322821361312566, -0.3119527725056324, -0.3634162082477179, 0.0917117341424734, -0.27297394724932744, -0.0761923633503077, 0.19970056494819127, -0.1101523680350909, 0.057065644349316005, 0.05289770502673641, 0.032465138083502446, 0.005548356488436358, -0.27165358428036385, 0.286211154630969, 0.04562771407574773, 0.32070459535166823, 0.05278752097694127, 0.03954128614205816, 0.053863519413575325, -0.07175406687398607, -0.02467112939115869, -0.03291004321288536, 0.16973321579320177, 0.4394865419575307, 0.3039974313570595, 0.2788571646287144, -0.42541840465815917, -0.16898487448335103, 0.027324533606688045, 0.17725272594045285, 0.08446952680840272, -0.06100974087475812, -0.3341037510983544, 0.10879812838688288, -0.28857819214208075, -0.02293790532403613, -0.0917415594465214, 0.019280883991510338, 0.004322088591448248, -0.24999931056613792, -0.0953738822568645, 0.04322769375492449, 0.08449035970978949, 0.005244099120418094, -0.04207651428750729, 0.01666327799376968, 0.11549636894798748, 0.0009765890203671504, 0.06884969107341021, 0.1978651597515412, -0.13739658349627398, -0.1641512906580704, 0.42103427309185676, -0.005609200817647658, -0.15862525174751468, 0.2066565159012959, 0.07061591711970149, -0.17938608470474918, 0.03903309677166175, 0.2188565551322464, 0.05059695700087827, -0.22740290088783185, 0.12996762982464583, 0.016682574477633588, 0.26908132433891296, 0.10995301534501478, 0.038738904932210036, 0.22174836721985716, 0.2296684340841762, 0.0009693209865199855, 0.17309140631560657, 0.009232003012136237, -0.10973168300681632, -0.2218370265949339, -0.19502217759544108, -0.15257497712944265, -0.050099059550270233, -0.09096034388833325, -0.2316369762156184, 0.3463906591713479, 0.231898704116322, 0.12169626118513206, 0.0474387314170599, 0.3960216511296083, -0.009728930337188689, 0.17680789449982576, 0.1368409113971236, 0.03740365897809245, 0.0010231265141182157, 0.2502325627672142, -0.03529099236746408, 0.11873054749464731, 0.01194319197723055] |
711.0918 | Renormalization Group Functions for Two-Dimensional Phase Transitions:
To the Problem of Singular Contributions | According to the available publications, the field theoretical
renormalization group (RG) approach in the two-dimensional case gives the
critical exponents that differ from the known exact values. This fact was
attempted to explain by the existence of nonanalytic contributions in the RG
functions. The situation is analysed in this work using a new algorithm for
summing divergent series that makes it possible to analyse dependence of the
results for the critical exponents on the expansion coefficients for RG
functions. It has been shown that the exact values of all the exponents can be
obtained with a reasonable form of the coefficient functions. These functions
have small nonmonotonities or inflections, which are poorly reproduced in
natural interpolations. It is not necessary to assume the existence of singular
contributions in RG functions.
| cond-mat.stat-mech cond-mat.other hep-ph hep-th | according to the available publications the field theoretical renormalization group rg approach in the twodimensional case gives the critical exponents that differ from the known exact values this fact was attempted to explain by the existence of nonanalytic contributions in the rg functions the situation is analysed in this work using a new algorithm for summing divergent series that makes it possible to analyse dependence of the results for the critical exponents on the expansion coefficients for rg functions it has been shown that the exact values of all the exponents can be obtained with a reasonable form of the coefficient functions these functions have small nonmonotonities or inflections which are poorly reproduced in natural interpolations it is not necessary to assume the existence of singular contributions in rg functions | [['according', 'to', 'the', 'available', 'publications', 'the', 'field', 'theoretical', 'renormalization', 'group', 'rg', 'approach', 'in', 'the', 'twodimensional', 'case', 'gives', 'the', 'critical', 'exponents', 'that', 'differ', 'from', 'the', 'known', 'exact', 'values', 'this', 'fact', 'was', 'attempted', 'to', 'explain', 'by', 'the', 'existence', 'of', 'nonanalytic', 'contributions', 'in', 'the', 'rg', 'functions', 'the', 'situation', 'is', 'analysed', 'in', 'this', 'work', 'using', 'a', 'new', 'algorithm', 'for', 'summing', 'divergent', 'series', 'that', 'makes', 'it', 'possible', 'to', 'analyse', 'dependence', 'of', 'the', 'results', 'for', 'the', 'critical', 'exponents', 'on', 'the', 'expansion', 'coefficients', 'for', 'rg', 'functions', 'it', 'has', 'been', 'shown', 'that', 'the', 'exact', 'values', 'of', 'all', 'the', 'exponents', 'can', 'be', 'obtained', 'with', 'a', 'reasonable', 'form', 'of', 'the', 'coefficient', 'functions', 'these', 'functions', 'have', 'small', 'nonmonotonities', 'or', 'inflections', 'which', 'are', 'poorly', 'reproduced', 'in', 'natural', 'interpolations', 'it', 'is', 'not', 'necessary', 'to', 'assume', 'the', 'existence', 'of', 'singular', 'contributions', 'in', 'rg', 'functions']] | [-0.11609540336003686, 0.09784590366274812, -0.1393668527765445, 0.08129861276928885, -0.06244899450563068, -0.10007404234953397, 0.027046391366829358, 0.3390348910655494, -0.24631278674197635, -0.24044431702688682, 0.08512475085895971, -0.2918983569383159, -0.17544719953876883, 0.21511076073624308, -0.016536478458564412, 0.07238459847204193, 0.0026738056750578243, 0.05434059384892615, -0.09631943257025609, -0.2558160943318476, 0.3294499727171781, 0.02061738845235271, 0.25374316446151035, 0.07946109359491935, 0.043605127158870764, -0.034339462092882675, -0.04315607256595363, 0.0313031902800602, -0.1687797929598321, 0.07050715991866219, 0.2605861816465017, 0.05339761536257962, 0.2321288965339231, -0.36705411670281907, -0.21228791578391262, 0.09542790017823523, 0.15557374726338385, 0.09423080369985352, 0.003984651931691481, -0.2158057540203914, 0.11392482553514861, -0.15259246332498716, -0.16349946678157665, -0.11376800272584886, 0.034922800894083034, 0.02230776946715534, -0.27933131909546577, 0.09749107458087247, -0.008235347873708162, 0.038256842354240345, -0.05830528733118387, -0.11790670786601629, 0.001529993390115772, 0.17086375739187176, 0.12242697256927688, 0.0441997004979716, 0.07986310221500291, -0.12836960768832487, -0.07302635791170042, 0.35842994043365295, -0.058445261863544005, -0.21571977139187096, 0.1706026848901944, -0.1857626628592726, -0.15579125603891966, 0.13763053176650245, 0.09671801988165392, 0.12850832796606862, -0.15428946667545756, 0.12269932970895554, -0.06764640062397649, 0.11686863498617858, 0.04174514291374836, -0.0035400308755248093, 0.1363141069607448, 0.050738310932304506, 0.02450645459245515, 0.11703726176132788, 0.013261255488709309, -0.11951857201381434, -0.33452919581832813, -0.10072752525813358, -0.1920715594860949, 0.05103642027655909, -0.10415911110291301, -0.1827677339240963, 0.4083275076546959, 0.16921648448477536, 0.23425583750038415, 0.059313990212724245, 0.248085274328586, 0.1864854538625525, 0.1229961375135553, 0.08188994865965589, 0.26690328658320184, 0.09874952543534107, 0.07333323895902366, -0.205593008228556, 0.07535365079854463, 0.1154007171930442] |
711.0919 | Commensurations and Subgroups of Finite Index of Thompson's Group F | We determine the abstract commensurator com(F) of Thompson's group F and
describe it in terms of piecewise linear homeomorphisms of the real line and in
terms of tree pair diagrams. We show com (F) is not finitely generated and
determine which subgroups of finite index in F are isomorphic to F. We show
that the natural map from the commensurator group to the quasi-isometry group
of F is injective.
| math.GR | we determine the abstract commensurator comf of thompsons group f and describe it in terms of piecewise linear homeomorphisms of the real line and in terms of tree pair diagrams we show com f is not finitely generated and determine which subgroups of finite index in f are isomorphic to f we show that the natural map from the commensurator group to the quasiisometry group of f is injective | [['we', 'determine', 'the', 'abstract', 'commensurator', 'comf', 'of', 'thompsons', 'group', 'f', 'and', 'describe', 'it', 'in', 'terms', 'of', 'piecewise', 'linear', 'homeomorphisms', 'of', 'the', 'real', 'line', 'and', 'in', 'terms', 'of', 'tree', 'pair', 'diagrams', 'we', 'show', 'com', 'f', 'is', 'not', 'finitely', 'generated', 'and', 'determine', 'which', 'subgroups', 'of', 'finite', 'index', 'in', 'f', 'are', 'isomorphic', 'to', 'f', 'we', 'show', 'that', 'the', 'natural', 'map', 'from', 'the', 'commensurator', 'group', 'to', 'the', 'quasiisometry', 'group', 'of', 'f', 'is', 'injective']] | [-0.16839676618795185, 0.10084979149841648, -0.07783582795630484, 0.03811289459169048, -0.09241108610363238, -0.08520234995247687, -0.0032095513032639727, 0.42765823143589143, -0.39032387875897046, -0.22545820463667898, 0.05973749859292772, -0.26793621339996154, -0.15368917892577455, 0.20027869708343027, -0.14432862351703293, -0.029449795249520856, 0.02626456188804963, 0.14706551009679542, -0.05753757626242826, -0.258919392239905, 0.380292310817715, -0.11034902481033522, 0.19148214024436824, 0.04188238319201285, 0.1106824710526887, -0.01680815433535506, -0.07814351400798734, -0.01366008299844586, -0.1483143358530951, 0.07014949375982671, 0.3049530237502254, 0.11714442572830354, 0.18988026897868088, -0.3072728412773679, -0.1412129280532313, 0.2564963464460829, 0.10780312468106036, -0.052865827570820006, -0.017538116299821174, -0.27250364462516324, 0.1554062862688785, -0.17142860673587113, -0.11286425739800666, -0.06549766086391173, 0.11491199150024091, 0.021975195336648646, -0.2475373540963868, -0.013823094654499608, 0.11026835389544859, 0.13229803230120418, -0.037912873558097464, -0.04359693791005103, -0.1326016354621114, 0.1303885619238238, -0.030741830746752814, 0.09052334165008848, 0.13262570876052932, -0.04898143248796901, -0.06528608312980984, 0.446215886841802, -0.14545602351427078, -0.21725004486849203, 0.1825559900060077, -0.21464872145545943, -0.18163229111130075, 0.11138099001939683, 0.10584000974674435, 0.1500505053451942, -0.032893485869007075, 0.24792168966771844, -0.13561454250970306, 0.1143471626290942, 0.05160922823158805, -0.05147673604626428, 0.06753772020216703, 0.018197561710086817, 0.10785064332680229, 0.1607336457750267, 0.08513367208926116, 0.04908532121985713, -0.3561676546164295, -0.19005435872275164, -0.13142330730539364, 0.04867084588712554, -0.08579592197822743, -0.22843365552013412, 0.42084125188343663, 0.09693421546698493, 0.14079233797340696, 0.11236554688452195, 0.16562223986393826, 0.09663114144795519, 0.04529878357425332, 0.08945293387617259, 0.08970873548156198, 0.18134123203344643, -0.15553970808875472, -0.18932543490561382, -0.0021150441230822574, 0.2151899688247153] |
711.092 | Revolving rivers in sandpiles: from continuous to intermittent flows | In a previous paper [Phys. Rev. Lett. 91, 014501 (2003)], the mechanism of
"revolving rivers" for sandpile formation is reported: as a steady stream of
dry sand is poured onto a horizontal surface, a pile forms which has a river of
sand on one side owing from the apex of the pile to the edge of the base. For
small piles the river is steady, or continuous. For larger piles, it becomes
intermittent. In this paper we establish experimentally the "dynamical phase
diagram" of the continuous and intermittent regimes, and give further details
of the piles topography, improving the previous kinematic model to describe it
and shedding further light on the mechanisms of river formation. Based on
experiments in Hele-Shaw cells, we also propose that a simple dimensionality
reduction argument can explain the transition between the continuous and
intermittent dynamics.
| cond-mat.soft cond-mat.stat-mech | in a previous paper phys rev lett 91 014501 2003 the mechanism of revolving rivers for sandpile formation is reported as a steady stream of dry sand is poured onto a horizontal surface a pile forms which has a river of sand on one side owing from the apex of the pile to the edge of the base for small piles the river is steady or continuous for larger piles it becomes intermittent in this paper we establish experimentally the dynamical phase diagram of the continuous and intermittent regimes and give further details of the piles topography improving the previous kinematic model to describe it and shedding further light on the mechanisms of river formation based on experiments in heleshaw cells we also propose that a simple dimensionality reduction argument can explain the transition between the continuous and intermittent dynamics | [['in', 'a', 'previous', 'paper', 'phys', 'rev', 'lett', '91', '014501', '2003', 'the', 'mechanism', 'of', 'revolving', 'rivers', 'for', 'sandpile', 'formation', 'is', 'reported', 'as', 'a', 'steady', 'stream', 'of', 'dry', 'sand', 'is', 'poured', 'onto', 'a', 'horizontal', 'surface', 'a', 'pile', 'forms', 'which', 'has', 'a', 'river', 'of', 'sand', 'on', 'one', 'side', 'owing', 'from', 'the', 'apex', 'of', 'the', 'pile', 'to', 'the', 'edge', 'of', 'the', 'base', 'for', 'small', 'piles', 'the', 'river', 'is', 'steady', 'or', 'continuous', 'for', 'larger', 'piles', 'it', 'becomes', 'intermittent', 'in', 'this', 'paper', 'we', 'establish', 'experimentally', 'the', 'dynamical', 'phase', 'diagram', 'of', 'the', 'continuous', 'and', 'intermittent', 'regimes', 'and', 'give', 'further', 'details', 'of', 'the', 'piles', 'topography', 'improving', 'the', 'previous', 'kinematic', 'model', 'to', 'describe', 'it', 'and', 'shedding', 'further', 'light', 'on', 'the', 'mechanisms', 'of', 'river', 'formation', 'based', 'on', 'experiments', 'in', 'heleshaw', 'cells', 'we', 'also', 'propose', 'that', 'a', 'simple', 'dimensionality', 'reduction', 'argument', 'can', 'explain', 'the', 'transition', 'between', 'the', 'continuous', 'and', 'intermittent', 'dynamics']] | [-0.1092305244079658, 0.17510028467804659, -0.10586492910515517, -0.016358901498772737, -0.05650528671685606, -0.09495499793182327, 0.11011588970265751, 0.30215961589877094, -0.24236590661374585, -0.2738158838557346, 0.10258055143141454, -0.2649964229469853, -0.17846333551652996, 0.1874659719045407, -0.116332197144428, 0.02093953215808142, 0.027397577371448278, -0.025763933673234922, 0.011659866360215737, -0.21757846696501865, 0.2647650545529489, 0.06351263140594321, 0.285558745045481, 0.06798352558897543, 0.09978005198894867, -0.05310518862346986, 0.0022785133682191373, -0.0060081705517534695, -0.18987464116014183, 0.03945619512482413, 0.17496843951188826, 0.04213926976080984, 0.24024691432714462, -0.48847992248567085, -0.2516601887431794, 0.06856985381372006, 0.08394330958669473, 0.09966906817613302, -0.03408510719309561, -0.2642289687945907, 0.06115133625488462, -0.166436095532429, -0.15305632776913367, -0.00035018335495676315, 0.10554486166885389, 0.030922985923169628, -0.2432134447552796, 0.09993220532092632, 0.10375059691952108, 0.05900717751246702, -0.052448630276402196, -0.05236813973835004, -0.09821645608837051, 0.11681728076156495, 0.03272283338093465, 0.037211821524293295, 0.17871316270570137, -0.10449489332303138, -0.07710802750994585, 0.36790016890902605, -0.020356828289472367, -0.14465825612257635, 0.26801393349222574, -0.15134525903766707, -0.10926490361203572, 0.13082303531201822, 0.22631995183681802, 0.0753898564260453, -0.11168965227635844, 0.01661730001381199, -0.13790524720347352, 0.1357095809121217, 0.12668902941513807, -0.05096551704752658, 0.2246938718482852, 0.2600755509321711, 0.05929174073306578, 0.16853858053551188, -0.15606007234891878, -0.12992543169696416, -0.25127893588671996, -0.167217936180532, -0.12358149842392387, 0.041628827500556194, -0.04850038380786178, -0.17971295240443266, 0.3982197594305035, 0.1260361050057067, 0.24759875248918042, 0.021902441260837284, 0.27825037495100075, 0.05349618105600322, 0.006839624903763511, 0.1120952428052468, 0.23102907689421304, 0.09803659123634653, 0.13135799582981106, -0.20713752704739039, 0.09596928074024617, 0.08129316063464752] |
711.0921 | Finite-size correction in many-body electronic structure calculations | Finite-size (FS) effects are a major source of error in many-body (MB)
electronic structure calculations of extended systems. A method is presented to
correct for such errors. We show that MB FS effects can be effectively included
in a modified local density approximation calculation. A parametrization for
the FS exchange-correlation functional is obtained. The method is simple and
gives post-processing corrections that can be applied to any MB results.
Applications to a model insulator (P$_2$ in a supercell), to semiconducting Si,
and to metallic Na show that the method delivers greatly improved FS
corrections.
| cond-mat.mtrl-sci cond-mat.other | finitesize fs effects are a major source of error in manybody mb electronic structure calculations of extended systems a method is presented to correct for such errors we show that mb fs effects can be effectively included in a modified local density approximation calculation a parametrization for the fs exchangecorrelation functional is obtained the method is simple and gives postprocessing corrections that can be applied to any mb results applications to a model insulator p_2 in a supercell to semiconducting si and to metallic na show that the method delivers greatly improved fs corrections | [['finitesize', 'fs', 'effects', 'are', 'a', 'major', 'source', 'of', 'error', 'in', 'manybody', 'mb', 'electronic', 'structure', 'calculations', 'of', 'extended', 'systems', 'a', 'method', 'is', 'presented', 'to', 'correct', 'for', 'such', 'errors', 'we', 'show', 'that', 'mb', 'fs', 'effects', 'can', 'be', 'effectively', 'included', 'in', 'a', 'modified', 'local', 'density', 'approximation', 'calculation', 'a', 'parametrization', 'for', 'the', 'fs', 'exchangecorrelation', 'functional', 'is', 'obtained', 'the', 'method', 'is', 'simple', 'and', 'gives', 'postprocessing', 'corrections', 'that', 'can', 'be', 'applied', 'to', 'any', 'mb', 'results', 'applications', 'to', 'a', 'model', 'insulator', 'p_2', 'in', 'a', 'supercell', 'to', 'semiconducting', 'si', 'and', 'to', 'metallic', 'na', 'show', 'that', 'the', 'method', 'delivers', 'greatly', 'improved', 'fs', 'corrections']] | [-0.10259162889238685, 0.05641320468659731, -0.14666776779167195, 0.11935781253912942, 0.00739061133192971, -0.1478218230260338, 0.063786166412954, 0.4086225987758805, -0.24860523812017066, -0.27564625814557076, -0.008475482130690696, -0.2945332422337316, -0.13821563429813435, 0.22561333670796074, -0.04360061171068315, 0.05182411602149938, 0.1041723491519967, -0.05400644187775857, -0.16031061550552778, -0.23094698532851057, 0.206402103280391, 0.025522362391286073, 0.23715603277285366, 0.10595039993108428, 0.021057616641863862, -0.030348013179931552, 0.07717436046755695, 0.0414144972418534, -0.12488490919589666, 0.10647021955315103, 0.2680965650212416, -0.012763922043303226, 0.23462813866988538, -0.42113006032725914, -0.2611710625462868, -0.018907764574829886, 0.12498590024683545, 0.18363289937297714, -0.03945279366366486, -0.27930201900914864, 0.15782732900945431, -0.1895381780143114, -0.12265795148770384, -0.1404944712078159, -0.00966849264272667, 0.016028948787084604, -0.33184751127958, 0.10476493617727797, 0.042837583846313525, -0.02494253078978719, -0.038780254762659366, -0.14347631372313233, -0.02137768875926416, 0.05391844652315721, -0.006553688947299614, 0.08685266166093185, 0.15868473000220082, -0.06598886377376287, -0.08323312917367574, 0.4111637336578458, -0.08784047498347912, -0.17749347691572806, 0.10450925253965754, -0.11803148443156734, -0.09805434131053613, 0.19084001750625829, 0.13119144764718937, 0.08765872187808434, -0.14400878347558008, 0.10456202529306385, 0.05067800151734078, 0.2380858762784207, 0.008865262782993787, 0.029176540261610075, 0.11265177457058366, 0.16080469839730638, 0.023983332556375164, 0.0829792189253296, -0.12712978711351752, -0.04226783207776223, -0.3000422078482014, -0.16279714979959573, -0.2044078830798018, 0.03127885785602786, -0.058603979101927176, -0.17660059155698152, 0.3903570124641695, 0.1593235348192777, 0.13273519631277056, -0.01966910082301957, 0.2678384836020067, 0.1510208140305699, 0.10521723555916167, 0.06130478481088388, 0.18137440485495857, 0.12081853408079118, 0.013622294734925666, -0.2572560679870955, 0.042993780884376546, 0.05329175029158038] |
711.0922 | Genetic algorithms predict formation of exotic ordered configurations
for two-component dipolar monolayers | We employ genetic algorithms (GA), which allow for an unbiased search for the
global minimum of energy landscapes, to identify the ordered equilibrium
configurations formed by binary dipolar systems confined on a plane. A large
variety of arrangements is identified, the complexity of which grows with
increasing asymmetry between the two components and with growing concentration
of the small particles. The effects of the density are briefly discussed and a
comparison with results obtained via conventional lattice-sum minimization is
presented. Our results can be confirmed by experiments involving Langmuir
monolayers of polystyrene dipolar spheres or super-para-magnetic colloids
confined on the air-water interface and polarized by an external, perpendicular
magnetic field.
| cond-mat.soft cond-mat.stat-mech | we employ genetic algorithms ga which allow for an unbiased search for the global minimum of energy landscapes to identify the ordered equilibrium configurations formed by binary dipolar systems confined on a plane a large variety of arrangements is identified the complexity of which grows with increasing asymmetry between the two components and with growing concentration of the small particles the effects of the density are briefly discussed and a comparison with results obtained via conventional latticesum minimization is presented our results can be confirmed by experiments involving langmuir monolayers of polystyrene dipolar spheres or superparamagnetic colloids confined on the airwater interface and polarized by an external perpendicular magnetic field | [['we', 'employ', 'genetic', 'algorithms', 'ga', 'which', 'allow', 'for', 'an', 'unbiased', 'search', 'for', 'the', 'global', 'minimum', 'of', 'energy', 'landscapes', 'to', 'identify', 'the', 'ordered', 'equilibrium', 'configurations', 'formed', 'by', 'binary', 'dipolar', 'systems', 'confined', 'on', 'a', 'plane', 'a', 'large', 'variety', 'of', 'arrangements', 'is', 'identified', 'the', 'complexity', 'of', 'which', 'grows', 'with', 'increasing', 'asymmetry', 'between', 'the', 'two', 'components', 'and', 'with', 'growing', 'concentration', 'of', 'the', 'small', 'particles', 'the', 'effects', 'of', 'the', 'density', 'are', 'briefly', 'discussed', 'and', 'a', 'comparison', 'with', 'results', 'obtained', 'via', 'conventional', 'latticesum', 'minimization', 'is', 'presented', 'our', 'results', 'can', 'be', 'confirmed', 'by', 'experiments', 'involving', 'langmuir', 'monolayers', 'of', 'polystyrene', 'dipolar', 'spheres', 'or', 'superparamagnetic', 'colloids', 'confined', 'on', 'the', 'airwater', 'interface', 'and', 'polarized', 'by', 'an', 'external', 'perpendicular', 'magnetic', 'field']] | [-0.1510563152115963, 0.20675404251306403, -0.026783688658199044, 0.03313200167431539, 0.001173976514009981, -0.12975162639359542, 0.010083428981346548, 0.37609655755212096, -0.2445889377812727, -0.32495471156723454, 0.04931624198477681, -0.2764533517130334, -0.1217327292243856, 0.18024285545640992, 0.06273220979326635, 0.00896684666497445, 0.03189256821263479, -0.040112743532250916, -0.03533301807068493, -0.23322624370985484, 0.2807671785944167, 0.049131491343242996, 0.27177212371089315, 0.053367501923626444, 0.07960638454517162, 0.04149331525021549, 0.03171383397260664, 0.10951807068814652, -0.17463604423619056, 0.12605486159990414, 0.20897299382801449, 0.0336667092927142, 0.20354062713545942, -0.45522543876816374, -0.19077317288931495, 0.08457084917762411, 0.15586849364212826, 0.11771156453664218, -0.12158051527686281, -0.2880826652821136, 0.059267838114932386, -0.09602376942548456, -0.14488239874935135, -0.06680574963604091, -0.0036541923246166987, 0.12543294184046602, -0.2722864617174918, 0.0747039029038289, 0.028877888111944455, 0.10468772000103437, -0.09085065606925978, -0.13529148566271734, -0.05300015176714765, 0.05497631035881852, 0.07041003340171702, 0.04183111222324158, 0.2025809486892177, -0.09857176404997467, -0.13116313945160274, 0.36499127029620726, -0.05113012202878679, -0.19020855413544752, 0.2607604596601509, -0.1072948657429068, -0.056907915730251495, 0.19667624579870716, 0.18114988612643348, 0.13126767751410467, -0.12737422261745968, 0.049152212096228685, -0.037818128295422214, 0.19215188339489317, 0.058089756622585816, -0.03486459018500231, 0.2594987229538073, 0.19100662377244287, 0.06338245720422876, 0.204307036050339, -0.10775120710204313, -0.10118839895318545, -0.22231804541901712, -0.16218161377030502, -0.2112684753742667, -0.0044498588300284445, -0.0984986900997299, -0.1791159189220757, 0.3304665344254618, 0.06755796892978592, 0.19191285762337779, 0.0001574413244262201, 0.2764325858854236, 0.06691782102693693, 0.05802737878327933, 0.026881690265251956, 0.2503199512672978, 0.16392778395675123, 0.07744760142314598, -0.2398174361095106, 0.04917012575432795, 0.011280706002795642] |
711.0923 | Thermal noise suppression: how much does it cost? | In order to stabilize the behavior of noisy systems, confining it around a
desirable state, an effort is required to suppress the intrinsic noise. This
noise suppression task entails a cost. For the important case of thermal noise
in an overdamped system, we show that the minimum cost is achieved when the
system control parameters are held constant: any additional deterministic or
random modulation produces an increase of the cost. We discuss the implications
of this phenomenon for those overdamped systems whose control parameters are
intrinsically noisy, presenting a case study based on the example of a Brownian
particle optically trapped in an oscillating potential.
| cond-mat.stat-mech | in order to stabilize the behavior of noisy systems confining it around a desirable state an effort is required to suppress the intrinsic noise this noise suppression task entails a cost for the important case of thermal noise in an overdamped system we show that the minimum cost is achieved when the system control parameters are held constant any additional deterministic or random modulation produces an increase of the cost we discuss the implications of this phenomenon for those overdamped systems whose control parameters are intrinsically noisy presenting a case study based on the example of a brownian particle optically trapped in an oscillating potential | [['in', 'order', 'to', 'stabilize', 'the', 'behavior', 'of', 'noisy', 'systems', 'confining', 'it', 'around', 'a', 'desirable', 'state', 'an', 'effort', 'is', 'required', 'to', 'suppress', 'the', 'intrinsic', 'noise', 'this', 'noise', 'suppression', 'task', 'entails', 'a', 'cost', 'for', 'the', 'important', 'case', 'of', 'thermal', 'noise', 'in', 'an', 'overdamped', 'system', 'we', 'show', 'that', 'the', 'minimum', 'cost', 'is', 'achieved', 'when', 'the', 'system', 'control', 'parameters', 'are', 'held', 'constant', 'any', 'additional', 'deterministic', 'or', 'random', 'modulation', 'produces', 'an', 'increase', 'of', 'the', 'cost', 'we', 'discuss', 'the', 'implications', 'of', 'this', 'phenomenon', 'for', 'those', 'overdamped', 'systems', 'whose', 'control', 'parameters', 'are', 'intrinsically', 'noisy', 'presenting', 'a', 'case', 'study', 'based', 'on', 'the', 'example', 'of', 'a', 'brownian', 'particle', 'optically', 'trapped', 'in', 'an', 'oscillating', 'potential']] | [-0.1809241405422134, 0.1464636159489774, -0.042260400485247374, 0.040915244090415186, -0.0346084096335939, -0.16192672624297086, 0.05318575054074504, 0.372170938123461, -0.27285416984398453, -0.29574018961616927, 0.10866815121844411, -0.2604579003128622, -0.16004176450494145, 0.20104648639736253, -0.11376123588110897, 0.06547963691077062, 0.041142138182407334, 0.05138621085899926, -0.001547353275098084, -0.24553698165164817, 0.27250772967291553, 0.0881298379476426, 0.24828960171767644, -0.007207394134075869, 0.12514001599379948, -0.005748590390153584, 0.026667619744936626, 0.01211968904050688, -0.07869817366015576, 0.07355930057487317, 0.1954995847218448, 0.016519903462557564, 0.3016820234113506, -0.4153817213716961, -0.23423779202359063, 0.15836912484928256, 0.12261646837883053, 0.16031771912461235, -0.07147101559121871, -0.24276755524444438, 0.030361280186722676, -0.12997320140046734, -0.16473770451488062, -0.06777738392840893, 0.02348568694488633, 0.009555599461531354, -0.3119819006012265, 0.08135005492450935, 0.10580899430039738, 0.04744448908826425, -0.06803212197541836, -0.08800061375035771, 0.021599300972939956, 0.12657141891180626, 0.01562768319799077, 0.01867489544009524, 0.1910105682155561, -0.17455625820328438, -0.10704881335564312, 0.37423972254175514, -0.07044327590902824, -0.22369656926506043, 0.19573780552572792, -0.09588097992929674, -0.09011731098539062, 0.16843471092482407, 0.18787258083355568, 0.0730040198679836, -0.1588602635550723, 0.0645798701704258, 0.02970793134355474, 0.22573146962871155, 0.01562429540568874, 0.07543417268122236, 0.1896506413906103, 0.22145915244972067, 0.11241188925203113, 0.1986724084420573, -0.057839952611053985, -0.10352961374003262, -0.29455317618502747, -0.12683621707061926, -0.18688572427878777, 0.05476045988588816, -0.07247644594560067, -0.17295426086389593, 0.3433570515719198, 0.18112809265121108, 0.19367865303619985, 0.021370546963243257, 0.31385286225094683, 0.1626359821984633, -0.01192120489043494, 0.06642526077672041, 0.2413256403236162, 0.08489280571894986, 0.0974167579385851, -0.28852832861067285, 0.06785154909427676, -0.008887313217634247] |
711.0924 | Finiteness and vanishing results on weighted Poincare inequality of
complete manifolds | We study manifolds satisfying a weighed Poincare inequality, which was first
introduced by Li-Wang. We generalized one of their results by relaxing the
Ricci curvature bound condition only being satisfied outside a compact set and
established a finitely many ends result. We proved a vanishing result for $L^2$
harmonic 1-form provided that the weight function $\rho$ is of sub-quadratic
growth of the distance function.
| math.DG | we study manifolds satisfying a weighed poincare inequality which was first introduced by liwang we generalized one of their results by relaxing the ricci curvature bound condition only being satisfied outside a compact set and established a finitely many ends result we proved a vanishing result for l2 harmonic 1form provided that the weight function rho is of subquadratic growth of the distance function | [['we', 'study', 'manifolds', 'satisfying', 'a', 'weighed', 'poincare', 'inequality', 'which', 'was', 'first', 'introduced', 'by', 'liwang', 'we', 'generalized', 'one', 'of', 'their', 'results', 'by', 'relaxing', 'the', 'ricci', 'curvature', 'bound', 'condition', 'only', 'being', 'satisfied', 'outside', 'a', 'compact', 'set', 'and', 'established', 'a', 'finitely', 'many', 'ends', 'result', 'we', 'proved', 'a', 'vanishing', 'result', 'for', 'l2', 'harmonic', '1form', 'provided', 'that', 'the', 'weight', 'function', 'rho', 'is', 'of', 'subquadratic', 'growth', 'of', 'the', 'distance', 'function']] | [-0.2095799186208751, 0.12569631036603823, -0.10044848622055724, 0.08852330033005273, -0.09897357919544447, -0.19355303850898053, -0.007055587968352484, 0.29064418991765706, -0.2572835895407479, -0.22103215754032135, 0.10944544885569485, -0.24729700248281006, -0.15261851175819174, 0.2049610975664109, -0.08089740994910244, 0.08859778977785027, 0.05911979475058615, 0.08761456403590273, -0.05764066225674469, -0.3162731031770818, 0.3974051958648488, -0.0032175057367567206, 0.19885928818257526, 0.12347702757688239, 0.12656899552530376, -0.01926164022734156, -0.009237614999619836, 0.02833556021505501, -0.22557295100398278, 0.11264526563172694, 0.16283100945292972, 0.11976933131518308, 0.2940359385393094, -0.3531259522715118, -0.18783501572033856, 0.17244445031769828, 0.07619451041682623, -0.011673442329993122, -0.06643472430005204, -0.30352932987443637, 0.12872945953859016, -0.10514898093242664, -0.2395201717799864, -0.04352497812942602, 0.0152109022019431, 0.01148631320847926, -0.27668242395156994, 0.0927484024578007, 0.16213150261319242, 0.03037230459449347, -0.11146606053807773, -0.08050804006779799, -0.052337570105009945, 0.04922567382163834, 0.03854190170750371, 0.09060842055259855, 0.08810834286850877, -0.05374392040539533, -0.054703457302821334, 0.2696822410071036, -0.10580306778138038, -0.26408690758398734, 0.11442236482980661, -0.14317230420419946, -0.15103794293827377, 0.05894062860897975, 0.0854922340149642, 0.17272443357796874, -0.11884441740767215, 0.14796836385994538, -0.07200554758310318, 0.08672508078143437, 0.17825335504312534, -0.00016391617100453004, 0.06267410179134458, 0.061724302751827054, 0.15497326840613823, 0.15515857297941693, 0.040289857039169874, -0.06157609066576697, -0.38257912048720755, -0.19535345514032088, -0.277487127459608, 0.11496181392794824, -0.1157519292971756, -0.14158882276387885, 0.33872624853393063, -0.049551763106137514, 0.19642953170114197, 0.15501549269720272, 0.23549949309744989, 0.14647935078596674, 0.05982674930055509, 0.1105259975665831, 0.21929185219778446, 0.22682148459352902, 0.04169276721222559, -0.09792493484565057, 0.008098875855012011, 0.18624812460620888] |
711.0925 | Eight New Millisecond Pulsars in NGC 6440 and NGC 6441 | Motivated by the recent discovery of 30 new millisecond pulsars in Terzan 5,
made using the Green Bank Telescope's S-band receiver and the Pulsar Spigot
spectrometer, we have set out to use the same observing system in a systematic
search for pulsars in other globular clusters. Here we report on the discovery
of five new pulsars in NGC 6440 and three in NGC 6441; each cluster previously
had one known pulsar. Using the most recent distance estimates to these
clusters, we conclude that there are as many potentially observable pulsars in
NGC 6440 and NGC 6441 as in Terzan 5. We present timing solutions for all of
the pulsars in these globular clusters. Four of the new discoveries are in
binary systems; one of them, PSR J1748-2021B (NGC 6440B), has a wide (P_b =
20.5 d) and eccentric (e = 0.57) orbit. This allowed a measurement of its rate
of advance of periastron: 0.00391(18) degrees per year. If due to the effects
of general relativity, the total mass of this binary system is 2.92 +/- 0.20
solar masses (1 sigma), implying a median pulsar mass of 2.74 +/- 0.21 solar
masses. There is a 1 % probability that the inclination is low enough that
pulsar mass is below 2 solar masses, and 0.10 % probability that it is between
1.20 and 1.44 solar masses. If confirmed, this anomalously large mass would
strongly constrain the equation of state for dense matter. The other highly
eccentric binary, PSR J1750-37A, has e = 0.71, and periastron advance of
0.0055(3) degrees per year, implying a total system mass of 1.97 +/-0.15 solar
masses and, along with the mass function, maximum and median pulsar masses of
1.65 and 1.26 solar masses respectively.
| astro-ph | motivated by the recent discovery of 30 new millisecond pulsars in terzan 5 made using the green bank telescopes sband receiver and the pulsar spigot spectrometer we have set out to use the same observing system in a systematic search for pulsars in other globular clusters here we report on the discovery of five new pulsars in ngc 6440 and three in ngc 6441 each cluster previously had one known pulsar using the most recent distance estimates to these clusters we conclude that there are as many potentially observable pulsars in ngc 6440 and ngc 6441 as in terzan 5 we present timing solutions for all of the pulsars in these globular clusters four of the new discoveries are in binary systems one of them psr j17482021b ngc 6440b has a wide p_b 205 d and eccentric e 057 orbit this allowed a measurement of its rate of advance of periastron 00039118 degrees per year if due to the effects of general relativity the total mass of this binary system is 292 020 solar masses 1 sigma implying a median pulsar mass of 274 021 solar masses there is a 1 probability that the inclination is low enough that pulsar mass is below 2 solar masses and 010 probability that it is between 120 and 144 solar masses if confirmed this anomalously large mass would strongly constrain the equation of state for dense matter the other highly eccentric binary psr j175037a has e 071 and periastron advance of 000553 degrees per year implying a total system mass of 197 015 solar masses and along with the mass function maximum and median pulsar masses of 165 and 126 solar masses respectively | [['motivated', 'by', 'the', 'recent', 'discovery', 'of', '30', 'new', 'millisecond', 'pulsars', 'in', 'terzan', '5', 'made', 'using', 'the', 'green', 'bank', 'telescopes', 'sband', 'receiver', 'and', 'the', 'pulsar', 'spigot', 'spectrometer', 'we', 'have', 'set', 'out', 'to', 'use', 'the', 'same', 'observing', 'system', 'in', 'a', 'systematic', 'search', 'for', 'pulsars', 'in', 'other', 'globular', 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711.0926 | Atomic alignment and Diagnostics of Magnetic Fields in Diffuse Media | We continue our studies of atomic alignment in diffuse media, in
particularly, in interstellar and circumstellar media, with the goal of
developing new diagnostics of magnetic fields in these environments. We
understand atomic alignment as alignment of atoms or ions in their ground
state. Such atoms are sensitive to weak magnetic fields. In particular, we
provide predictions of the polarization that arises from astrophysically
important aligned atoms (ions) with fine structure of the ground level, namely,
OI and SII and Ti II. Unlike our earlier papers which dealt with weak fields
only, a substantial part of our current paper is devoted to the studies of
atomic alignment when magnetic fields get strong enough to affect the emission
from the excited level, i.e. with the regime when the magnetic splitting is
comparable to the line-width. This is a regime of Hanle effect modified by the
atomic alignment. Using an example of emission and absorption lines of SII ion
we demonstrate how polarimetric studies can probe magnetic fields in
circumstellar regions and accretion disks. In addition, we show that atomic
alignment induced by anisotropic radiation can induce substantial variations of
magnetic dipole transitions within the ground state, thus affecting abundance
studies based on this emission. Moreover, the radio emission is polarized,
provides a new way to study magnetic fields, e.g. at the epoch of Universe
reionization.
| astro-ph | we continue our studies of atomic alignment in diffuse media in particularly in interstellar and circumstellar media with the goal of developing new diagnostics of magnetic fields in these environments we understand atomic alignment as alignment of atoms or ions in their ground state such atoms are sensitive to weak magnetic fields in particular we provide predictions of the polarization that arises from astrophysically important aligned atoms ions with fine structure of the ground level namely oi and sii and ti ii unlike our earlier papers which dealt with weak fields only a substantial part of our current paper is devoted to the studies of atomic alignment when magnetic fields get strong enough to affect the emission from the excited level ie with the regime when the magnetic splitting is comparable to the linewidth this is a regime of hanle effect modified by the atomic alignment using an example of emission and absorption lines of sii ion we demonstrate how polarimetric studies can probe magnetic fields in circumstellar regions and accretion disks in addition we show that atomic alignment induced by anisotropic radiation can induce substantial variations of magnetic dipole transitions within the ground state thus affecting abundance studies based on this emission moreover the radio emission is polarized provides a new way to study magnetic fields eg at the epoch of universe reionization | [['we', 'continue', 'our', 'studies', 'of', 'atomic', 'alignment', 'in', 'diffuse', 'media', 'in', 'particularly', 'in', 'interstellar', 'and', 'circumstellar', 'media', 'with', 'the', 'goal', 'of', 'developing', 'new', 'diagnostics', 'of', 'magnetic', 'fields', 'in', 'these', 'environments', 'we', 'understand', 'atomic', 'alignment', 'as', 'alignment', 'of', 'atoms', 'or', 'ions', 'in', 'their', 'ground', 'state', 'such', 'atoms', 'are', 'sensitive', 'to', 'weak', 'magnetic', 'fields', 'in', 'particular', 'we', 'provide', 'predictions', 'of', 'the', 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711.0927 | Plasmon phenomena as origin of DC-current induced resistivity
oscillations in two-dimensional electron systems | We analyze theoretically the oscillations that the magnetoresistivity of
two-dimensional electron systems present when a high intensity direct current
is applied. In the model presented here we suggest that a plasma wave is
excited in the system producing an oscillating motion of the whole
two-dimensional electron gas at the plasma frequency. This scenario affects
dramatically the way that electrons interact with scatterers giving rise to
oscillations in the longitudinal resistivity. With this theoretical model
experimental results are well reproduced and explained.
| cond-mat.mes-hall | we analyze theoretically the oscillations that the magnetoresistivity of twodimensional electron systems present when a high intensity direct current is applied in the model presented here we suggest that a plasma wave is excited in the system producing an oscillating motion of the whole twodimensional electron gas at the plasma frequency this scenario affects dramatically the way that electrons interact with scatterers giving rise to oscillations in the longitudinal resistivity with this theoretical model experimental results are well reproduced and explained | [['we', 'analyze', 'theoretically', 'the', 'oscillations', 'that', 'the', 'magnetoresistivity', 'of', 'twodimensional', 'electron', 'systems', 'present', 'when', 'a', 'high', 'intensity', 'direct', 'current', 'is', 'applied', 'in', 'the', 'model', 'presented', 'here', 'we', 'suggest', 'that', 'a', 'plasma', 'wave', 'is', 'excited', 'in', 'the', 'system', 'producing', 'an', 'oscillating', 'motion', 'of', 'the', 'whole', 'twodimensional', 'electron', 'gas', 'at', 'the', 'plasma', 'frequency', 'this', 'scenario', 'affects', 'dramatically', 'the', 'way', 'that', 'electrons', 'interact', 'with', 'scatterers', 'giving', 'rise', 'to', 'oscillations', 'in', 'the', 'longitudinal', 'resistivity', 'with', 'this', 'theoretical', 'model', 'experimental', 'results', 'are', 'well', 'reproduced', 'and', 'explained']] | [-0.1462128152330636, 0.20713529303647651, -0.04482005077506197, 0.0502269966987732, -0.003884543526779722, -0.11766019209437532, 0.027736994389007674, 0.38074152925868093, -0.2593406793879874, -0.27563412567991535, 0.007755996954029449, -0.28892976791672637, -0.12033320995576588, 0.23353493932841551, 0.023726044521655564, -0.0009609676098428023, 0.04437273676380699, -0.01805267303917603, -0.015901485518379894, -0.1654197871627539, 0.25423279016014233, 0.09331699061195975, 0.29763221830980463, 0.0765507729885019, 0.06597362417313787, -0.023496637876823913, 0.028633741558425956, 0.060201877325681254, -0.10022859737831441, 0.04266519364498464, 0.19703575913552884, -0.014531935731891864, 0.18955701401020275, -0.4764334303729328, -0.24804297465555095, 0.0024951188393903, 0.20164173959041543, 0.15206543134272466, -0.10641407770001227, -0.26036529063626573, -0.014729692247828446, -0.16137178360705873, -0.17952045905231326, -0.06852558334530504, -0.016226495679375934, 0.026250577209816304, -0.2817607886836301, 0.15763165354498743, 0.04377232260432922, 0.02464554133468572, -0.12265790094632978, -0.05808563290572047, -0.004668100762905346, 0.045739211169729746, 0.06258441666773532, 0.047760038866581006, 0.16482879643408974, -0.11037186737586227, -0.09123657064305411, 0.3714689384617003, -0.09587724469199685, -0.15689826492841044, 0.2069954208822714, -0.2511865747603875, -0.056415748592742065, 0.1520715905238449, 0.16821708139980696, 0.05856929959177419, -0.11265958267509116, 0.029145035529825378, -0.0772136702562645, 0.15056998021526974, 0.02494590669973857, 0.021266422797868282, 0.26740990337674264, 0.22443394758163687, -0.013311980821100283, 0.13652226210422355, -0.11827109268877978, -0.020640081691521185, -0.2661949762108701, -0.1119932539784062, -0.16686946089253013, 0.02228382962269358, 0.010891591910708317, -0.1707735966005719, 0.45927336975288247, 0.19515877535085577, 0.2155423961740769, -0.040908763417974114, 0.33070746110177335, 0.1731716717052975, 0.008964694553503284, 0.07048103638729196, 0.2913332210600744, 0.1443207903454701, 0.1499404328311851, -0.29768659203186815, 0.0307149432691527, -0.032326361515133836] |
711.0928 | Infinite Viterbi alignments in the two state hidden Markov models | Since the early days of digital communication, Hidden Markov Models (HMMs)
have now been routinely used in speech recognition, processing of natural
languages, images, and in bioinformatics. An HMM $(X_i,Y_i)_{i\ge 1}$ assumes
observations $X_1,X_2,...$ to be conditionally independent given an
"explanotary" Markov process $Y_1,Y_2,...$, which itself is not observed;
moreover, the conditional distribution of $X_i$ depends solely on $Y_i$.
Central to the theory and applications of HMM is the Viterbi algorithm to find
{\em a maximum a posteriori} estimate $q_{1:n}=(q_1,q_2,...,q_n)$ of $Y_{1:n}$
given the observed data $x_{1:n}$. Maximum {\em a posteriori} paths are also
called Viterbi paths or alignments. Recently, attempts have been made to study
the behavior of Viterbi alignments of HMMs with two hidden states when $n$
tends to infinity. It has indeed been shown that in some special cases a
well-defined limiting Viterbi alignment exists. While innovative, these
attempts have relied on rather strong assumptions. This work proves the
existence of infinite Viterbi alignments for virtually any HMM with two hidden
states.
| math.ST math.PR stat.ML stat.TH | since the early days of digital communication hidden markov models hmms have now been routinely used in speech recognition processing of natural languages images and in bioinformatics an hmm x_iy_i_ige 1 assumes observations x_1x_2 to be conditionally independent given an explanotary markov process y_1y_2 which itself is not observed moreover the conditional distribution of x_i depends solely on y_i central to the theory and applications of hmm is the viterbi algorithm to find em a maximum a posteriori estimate q_1nq_1q_2q_n of y_1n given the observed data x_1n maximum em a posteriori paths are also called viterbi paths or alignments recently attempts have been made to study the behavior of viterbi alignments of hmms with two hidden states when n tends to infinity it has indeed been shown that in some special cases a welldefined limiting viterbi alignment exists while innovative these attempts have relied on rather strong assumptions this work proves the existence of infinite viterbi alignments for virtually any hmm with two hidden states | [['since', 'the', 'early', 'days', 'of', 'digital', 'communication', 'hidden', 'markov', 'models', 'hmms', 'have', 'now', 'been', 'routinely', 'used', 'in', 'speech', 'recognition', 'processing', 'of', 'natural', 'languages', 'images', 'and', 'in', 'bioinformatics', 'an', 'hmm', 'x_iy_i_ige', '1', 'assumes', 'observations', 'x_1x_2', 'to', 'be', 'conditionally', 'independent', 'given', 'an', 'explanotary', 'markov', 'process', 'y_1y_2', 'which', 'itself', 'is', 'not', 'observed', 'moreover', 'the', 'conditional', 'distribution', 'of', 'x_i', 'depends', 'solely', 'on', 'y_i', 'central', 'to', 'the', 'theory', 'and', 'applications', 'of', 'hmm', 'is', 'the', 'viterbi', 'algorithm', 'to', 'find', 'em', 'a', 'maximum', 'a', 'posteriori', 'estimate', 'q_1nq_1q_2q_n', 'of', 'y_1n', 'given', 'the', 'observed', 'data', 'x_1n', 'maximum', 'em', 'a', 'posteriori', 'paths', 'are', 'also', 'called', 'viterbi', 'paths', 'or', 'alignments', 'recently', 'attempts', 'have', 'been', 'made', 'to', 'study', 'the', 'behavior', 'of', 'viterbi', 'alignments', 'of', 'hmms', 'with', 'two', 'hidden', 'states', 'when', 'n', 'tends', 'to', 'infinity', 'it', 'has', 'indeed', 'been', 'shown', 'that', 'in', 'some', 'special', 'cases', 'a', 'welldefined', 'limiting', 'viterbi', 'alignment', 'exists', 'while', 'innovative', 'these', 'attempts', 'have', 'relied', 'on', 'rather', 'strong', 'assumptions', 'this', 'work', 'proves', 'the', 'existence', 'of', 'infinite', 'viterbi', 'alignments', 'for', 'virtually', 'any', 'hmm', 'with', 'two', 'hidden', 'states']] | [-0.09796161596867382, 0.10361084253918869, -0.09039448024590074, 0.08974497624424174, -0.12079857783334583, -0.1806923349066005, 0.03256249336603408, 0.435750065198927, -0.28392718485154117, -0.30705731806961856, 0.11226565756240031, -0.2679794460900105, -0.142772836031832, 0.13912218026414422, -0.09437511274361132, 0.11454926051751331, 0.06470066442062365, 0.09026769702150314, -0.01815294600947024, -0.26502759805679277, 0.21470203837906196, 0.035897642322298556, 0.3109850215461151, -0.07413843187882944, 0.14484995795251446, -0.010329278045115464, -0.007434099079052239, -0.04623879010301203, -0.11471134474822413, 0.08037797161766018, 0.29764721066976, 0.19131576861458777, 0.30010918715255863, -0.4024594963102797, -0.2193374065243938, 0.17797932694062452, 0.1813636916405004, 0.11462279880364759, -0.014390935142593528, -0.2945316905920382, 0.10855411102903294, -0.1196091349673584, -0.028039598216613133, -0.020719149121209795, 0.03513226370373166, 0.01732941048563297, -0.287588088678334, 0.014473753838827201, 0.10240091335166383, 0.06343093269826545, 0.036965151116205956, -0.13919496895633293, -0.017681877748224377, 0.10818915779182808, 0.10141079626200623, 0.03208001365850645, 0.046583432252921254, -0.09416696148418625, -0.18467460411660414, 0.29699309870462726, -0.05844002657420473, -0.21586691468586156, 0.1702139321513428, -0.05621124147063834, -0.21464693216020586, 0.1515007521015776, 0.14114575289810696, 0.12020812798463912, -0.17748422696397792, 0.10014393758014373, -0.05251288969704973, 0.21169214345296317, 0.08437667818981465, 0.015054179962011582, 0.20865537730953942, 0.12395599207202732, 0.03217622011764849, 0.12004448204332917, -0.10869982192741225, -0.08248069816280479, -0.253622942124091, -0.1186541994964635, -0.24936488540383217, 0.03760399646422162, -0.0773483936807477, -0.2210650277662847, 0.33316211008903696, 0.16970057317334583, 0.2002842909236795, 0.08913882196281554, 0.25368303742854753, 0.0983012820519277, 0.05694693369779414, 0.10972193821856499, 0.19496804923354505, 0.12616607226304893, 0.01970519547574912, -0.11631824398976694, 0.18197699372921092, 0.029100361666757106] |
711.0929 | Half quantum vortices and Majorana fermions in triplet superconductors | Half quantum vortices (HQVs) in superfluid $^3He-A$ have been speculated
since 1976. Two years ago, Yamashita et al reported a very unusual NMR
satellite in the rotating superfluid $^3He-A$ in a parallel plate geometry.
Recently this satellite has been interpreted in terms of HQVs. Also, the strong
flux pinnings in the triplet superconductors $UPt_3, Sr_2RuO_4$ and
$U_{1-x}Th_xBe_{13}$ have been discovered by Mota and her colleagues which are
interpreted in terms of HQVs. We shall first review the bound state spectra
around a single vortex in unconventional superconductors, which provides the
necessary background. In particular, we find the zero modes of the Majorana
fermions in some of triplet superconductors $UPt_3, Sr_2RuO_4$ and $CePt_3Sn$.
Armed with these results we analyze the microscopic aspects of HQVs in $UPt_3$
and $Sr_2RuO_4$. We compute the quasiparticle density of states and the local
magnetic field around HQVs, which should be accessible to scanning tunneling
microscopy (STM), micromagnetometry and neutron scattering below 300 mK.
| cond-mat.supr-con | half quantum vortices hqvs in superfluid 3hea have been speculated since 1976 two years ago yamashita et al reported a very unusual nmr satellite in the rotating superfluid 3hea in a parallel plate geometry recently this satellite has been interpreted in terms of hqvs also the strong flux pinnings in the triplet superconductors upt_3 sr_2ruo_4 and u_1xth_xbe_13 have been discovered by mota and her colleagues which are interpreted in terms of hqvs we shall first review the bound state spectra around a single vortex in unconventional superconductors which provides the necessary background in particular we find the zero modes of the majorana fermions in some of triplet superconductors upt_3 sr_2ruo_4 and cept_3sn armed with these results we analyze the microscopic aspects of hqvs in upt_3 and sr_2ruo_4 we compute the quasiparticle density of states and the local magnetic field around hqvs which should be accessible to scanning tunneling microscopy stm micromagnetometry and neutron scattering below 300 mk | [['half', 'quantum', 'vortices', 'hqvs', 'in', 'superfluid', '3hea', 'have', 'been', 'speculated', 'since', '1976', 'two', 'years', 'ago', 'yamashita', 'et', 'al', 'reported', 'a', 'very', 'unusual', 'nmr', 'satellite', 'in', 'the', 'rotating', 'superfluid', '3hea', 'in', 'a', 'parallel', 'plate', 'geometry', 'recently', 'this', 'satellite', 'has', 'been', 'interpreted', 'in', 'terms', 'of', 'hqvs', 'also', 'the', 'strong', 'flux', 'pinnings', 'in', 'the', 'triplet', 'superconductors', 'upt_3', 'sr_2ruo_4', 'and', 'u_1xth_xbe_13', 'have', 'been', 'discovered', 'by', 'mota', 'and', 'her', 'colleagues', 'which', 'are', 'interpreted', 'in', 'terms', 'of', 'hqvs', 'we', 'shall', 'first', 'review', 'the', 'bound', 'state', 'spectra', 'around', 'a', 'single', 'vortex', 'in', 'unconventional', 'superconductors', 'which', 'provides', 'the', 'necessary', 'background', 'in', 'particular', 'we', 'find', 'the', 'zero', 'modes', 'of', 'the', 'majorana', 'fermions', 'in', 'some', 'of', 'triplet', 'superconductors', 'upt_3', 'sr_2ruo_4', 'and', 'cept_3sn', 'armed', 'with', 'these', 'results', 'we', 'analyze', 'the', 'microscopic', 'aspects', 'of', 'hqvs', 'in', 'upt_3', 'and', 'sr_2ruo_4', 'we', 'compute', 'the', 'quasiparticle', 'density', 'of', 'states', 'and', 'the', 'local', 'magnetic', 'field', 'around', 'hqvs', 'which', 'should', 'be', 'accessible', 'to', 'scanning', 'tunneling', 'microscopy', 'stm', 'micromagnetometry', 'and', 'neutron', 'scattering', 'below', '300', 'mk']] | [-0.19875868742744768, 0.2292031588633695, -0.10275441621610475, 0.08111658776404276, -0.06922042035768108, -0.14043368732917214, 0.07027389152058129, 0.34679094545783534, -0.17188630141017416, -0.3063165650072117, -0.0048818727196644875, -0.3195030784174319, -0.11053775768546809, 0.15098120416364363, -0.01513805040909398, 0.04613312052022065, -0.06719613885807414, 0.004116306153516615, -0.09656295475189484, -0.27900169268175357, 0.29199939441656875, -0.0007159216697478006, 0.32778534654888414, 0.07090675174968641, 0.01862745860050763, -0.03708474830153488, 0.06259519246016298, 0.016491799724603733, -0.19488062729097663, 0.02636506668134262, 0.27611387448024843, -0.06542560008594826, 0.15668986061167334, -0.48045431621853385, -0.2203596086151177, 0.037739230076512024, 0.19906473628155166, 0.15702088287385602, -0.07781219892354022, -0.3428356822760355, 0.04013143551926459, -0.17790477640866753, -0.14208206809576482, -0.12263689663847008, 0.04729471189916254, -0.04485371866894345, -0.14850078736762365, 0.09227741547360746, 0.03850775336576325, 0.11503402732553021, -0.0827900521329514, -0.12065666784502325, -0.03719453438816051, -0.012927836155699146, 0.06899418618770377, 0.05619793349065848, 0.07557885472272192, -0.13409828679606078, -0.14379490564967837, 0.30052665513151533, -0.08016746100444336, -0.025736770047355563, 0.1525476308960107, -0.1804039630948776, -0.120173348717752, 0.11233918750358204, 0.06646302733870764, 0.1073540985133619, -0.14343419092436951, 0.07370186809886006, -0.1313320098362202, 0.12188651177190965, 0.0898529363165219, 0.10650312735909416, 0.30550952066457077, 0.16902174901727948, -0.024160318061589234, 0.10795079075896571, -0.17906803883642197, -0.05209364809974607, -0.233648767854057, -0.19217956581400827, -0.19864024388633908, 0.011999389347470095, 0.06438180462423441, -0.13987581029894852, 0.36522784703260947, 0.12574666403534432, 0.19733003849565472, -0.1481410980953144, 0.21137663192085682, 0.0702537038213303, 0.07859048569394696, 0.06556146295512125, 0.30372577530215494, 0.20540512596527416, 0.16391555109331685, -0.27644325426869815, 0.02996336010194594, 0.04182620126295895] |
711.093 | Fast Equilibration of Hadrons in an Expanding Fireball | Due to long chemical equilibration times within standard hadronic reactions
during the hadron gas phase in relativistic heavy ion collisions it has been
suggested that the hadrons are "born" into equilibrium after the quark gluon
plasma phase. Here we develop a dynamical scheme in which possible Hagedorn
states contribute to fast chemical equilibration times of baryon anti-baryon
pairs (as well as kaon anti-kaon pairs) inside a hadron gas and just below the
critical temperature. Within this scheme, we use master equations and derive
various analytical estimates for the chemical equilibration times. Applying a
Bjorken picture to the expanding fireball, the kaons and baryons as well as the
bath of pions and Hagedorn resonances can indeed quickly chemically equilibrate
for both an initial overpopulation or underpopulation of Hagedorn resonances.
Moreover, a comparison of our results to $(B+\bar{B})/\pi^{+}$ and $K/\pi^{+}$
ratios at RHIC, indeed, shows a close match.
| nucl-th hep-ph | due to long chemical equilibration times within standard hadronic reactions during the hadron gas phase in relativistic heavy ion collisions it has been suggested that the hadrons are born into equilibrium after the quark gluon plasma phase here we develop a dynamical scheme in which possible hagedorn states contribute to fast chemical equilibration times of baryon antibaryon pairs as well as kaon antikaon pairs inside a hadron gas and just below the critical temperature within this scheme we use master equations and derive various analytical estimates for the chemical equilibration times applying a bjorken picture to the expanding fireball the kaons and baryons as well as the bath of pions and hagedorn resonances can indeed quickly chemically equilibrate for both an initial overpopulation or underpopulation of hagedorn resonances moreover a comparison of our results to bbarbpi and kpi ratios at rhic indeed shows a close match | [['due', 'to', 'long', 'chemical', 'equilibration', 'times', 'within', 'standard', 'hadronic', 'reactions', 'during', 'the', 'hadron', 'gas', 'phase', 'in', 'relativistic', 'heavy', 'ion', 'collisions', 'it', 'has', 'been', 'suggested', 'that', 'the', 'hadrons', 'are', 'born', 'into', 'equilibrium', 'after', 'the', 'quark', 'gluon', 'plasma', 'phase', 'here', 'we', 'develop', 'a', 'dynamical', 'scheme', 'in', 'which', 'possible', 'hagedorn', 'states', 'contribute', 'to', 'fast', 'chemical', 'equilibration', 'times', 'of', 'baryon', 'antibaryon', 'pairs', 'as', 'well', 'as', 'kaon', 'antikaon', 'pairs', 'inside', 'a', 'hadron', 'gas', 'and', 'just', 'below', 'the', 'critical', 'temperature', 'within', 'this', 'scheme', 'we', 'use', 'master', 'equations', 'and', 'derive', 'various', 'analytical', 'estimates', 'for', 'the', 'chemical', 'equilibration', 'times', 'applying', 'a', 'bjorken', 'picture', 'to', 'the', 'expanding', 'fireball', 'the', 'kaons', 'and', 'baryons', 'as', 'well', 'as', 'the', 'bath', 'of', 'pions', 'and', 'hagedorn', 'resonances', 'can', 'indeed', 'quickly', 'chemically', 'equilibrate', 'for', 'both', 'an', 'initial', 'overpopulation', 'or', 'underpopulation', 'of', 'hagedorn', 'resonances', 'moreover', 'a', 'comparison', 'of', 'our', 'results', 'to', 'bbarbpi', 'and', 'kpi', 'ratios', 'at', 'rhic', 'indeed', 'shows', 'a', 'close', 'match']] | [-0.03774779965250014, 0.30256070481254, -0.1745947750799101, 0.13479465387424389, 0.034471326753304436, -0.10818583630747965, 0.07825062937978335, 0.3180191012292073, -0.17165354776581557, -0.2274545260544481, -0.01951092747040093, -0.2992173878154878, 0.04203701234294166, 0.10130538940429687, 0.07786392173569263, 0.08834241908043623, 0.07660037471174166, 0.014941254736662938, -0.0730864626889374, -0.20214594415356887, 0.29311393095212507, 0.06722042774460439, 0.19058234842638647, 0.1684586192408962, 0.059029856577900976, -0.04406446156951053, 0.024111497389345333, -0.02893705498106007, -0.11785960254025574, -0.04080098543079281, 0.24323027721437593, 0.060651819412757095, 0.16705616733123516, -0.4202423733329914, -0.201876458068025, 0.105018328220166, 0.2186710783103802, 0.19710325511736426, -0.06786202773901409, -0.252423580575349, 0.05683392031310961, -0.23896513412353293, -0.19366611422135913, -0.12166356312046792, 0.03022178233890184, 0.017562194011206258, -0.30425631392442076, 0.13571803179079794, -0.017324754029937925, 0.014300017983748995, -0.04401484418756746, -0.17484269360389465, -0.04251224783586403, 0.029470475498137288, 0.07886792341215086, 0.08026765092308151, 0.2281094640557622, -0.13149793049689895, -0.05996313118215265, 0.4220902678653084, -0.051660151473760345, -0.09437126775496993, 0.2273741477522357, -0.1735173704359552, -0.10884862889953215, 0.1861058971651926, 0.18937978451300796, 0.07431605683382729, -0.20293128451308365, 0.018744393384710338, -0.017881750154854922, 0.14156373309521988, 0.1204316178079823, 0.06943253607585512, 0.25148275949960125, 0.19273875840088545, -0.03693528869671041, 0.08320069819185, -0.026028436863923383, -0.13273468717715928, -0.33228252481283815, -0.11992851766789782, -0.12198598877012987, 0.08121890817158695, -0.06902260072960856, -0.12059684243406459, 0.35687884080624166, 0.08128059159257803, 0.26648572319255465, -0.02381553087014191, 0.3094263710338494, 0.07542843219446789, 0.038879563720447236, 0.13313543270663197, 0.25055220245929627, 0.20975911744452755, 0.2181431315582374, -0.3001202753841363, 0.018367561662633872, 0.07716963940043131] |
711.0931 | Is there a tower of charges to be discovered? | We investigate higher loop integrability for a q-deformation of the
su(2)-sector of N=4 SYM theory. First we construct a generalisation of the long
range spin chain, which for the lowest orders describes the non-deformed
dilatation operator. This generalised model is built up from Temperley-Lieb
algebra generators and describes the deformed theory to at least two loops.
When constructing the model we have demanded the existence of one commuting
charge, which puts strong constraints on the parameters to three loop orders.
We also write down the five first charges for this model at two loops order.
Our main goal is to obtain an explicit expression for an infinite number of
commuting charges, all commuting with the dilatation operator. This would imply
integrability. As a step towards this goal we present in this paper an
expression for a generic local charge of the one-loop dilatation operator,
which happens to be a generator of the Temperley-Lieb algebra.
| hep-th | we investigate higher loop integrability for a qdeformation of the su2sector of n4 sym theory first we construct a generalisation of the long range spin chain which for the lowest orders describes the nondeformed dilatation operator this generalised model is built up from temperleylieb algebra generators and describes the deformed theory to at least two loops when constructing the model we have demanded the existence of one commuting charge which puts strong constraints on the parameters to three loop orders we also write down the five first charges for this model at two loops order our main goal is to obtain an explicit expression for an infinite number of commuting charges all commuting with the dilatation operator this would imply integrability as a step towards this goal we present in this paper an expression for a generic local charge of the oneloop dilatation operator which happens to be a generator of the temperleylieb algebra | [['we', 'investigate', 'higher', 'loop', 'integrability', 'for', 'a', 'qdeformation', 'of', 'the', 'su2sector', 'of', 'n4', 'sym', 'theory', 'first', 'we', 'construct', 'a', 'generalisation', 'of', 'the', 'long', 'range', 'spin', 'chain', 'which', 'for', 'the', 'lowest', 'orders', 'describes', 'the', 'nondeformed', 'dilatation', 'operator', 'this', 'generalised', 'model', 'is', 'built', 'up', 'from', 'temperleylieb', 'algebra', 'generators', 'and', 'describes', 'the', 'deformed', 'theory', 'to', 'at', 'least', 'two', 'loops', 'when', 'constructing', 'the', 'model', 'we', 'have', 'demanded', 'the', 'existence', 'of', 'one', 'commuting', 'charge', 'which', 'puts', 'strong', 'constraints', 'on', 'the', 'parameters', 'to', 'three', 'loop', 'orders', 'we', 'also', 'write', 'down', 'the', 'five', 'first', 'charges', 'for', 'this', 'model', 'at', 'two', 'loops', 'order', 'our', 'main', 'goal', 'is', 'to', 'obtain', 'an', 'explicit', 'expression', 'for', 'an', 'infinite', 'number', 'of', 'commuting', 'charges', 'all', 'commuting', 'with', 'the', 'dilatation', 'operator', 'this', 'would', 'imply', 'integrability', 'as', 'a', 'step', 'towards', 'this', 'goal', 'we', 'present', 'in', 'this', 'paper', 'an', 'expression', 'for', 'a', 'generic', 'local', 'charge', 'of', 'the', 'oneloop', 'dilatation', 'operator', 'which', 'happens', 'to', 'be', 'a', 'generator', 'of', 'the', 'temperleylieb', 'algebra']] | [-0.13923838429679103, 0.13728242566725526, -0.02703386366476196, 0.06765243186170912, -0.056557284017976425, -0.0964741248232252, -0.021264493171361504, 0.3165000651913163, -0.2515627944890361, -0.2497033706863181, 0.1005915477078154, -0.2806364268445494, -0.13526780538520983, 0.14696914414336978, -0.03559957632705255, 0.014363928307936369, 0.012564732653826668, 0.09971169401232347, -0.12784859578596888, -0.20294397389485996, 0.3400335340071228, 0.02421076654444461, 0.23410131806483517, 0.05938303174886417, 0.15525993269674673, 0.006232650859837795, 0.01568762186382498, -0.03586489221008567, -0.1256628696105213, 0.13987433410010772, 0.21530260294282735, 0.04756590122865005, 0.18715577057635338, -0.4366236944961083, -0.11818368052579946, 0.11822061998430979, 0.15561532562253877, 0.15333474914364928, 0.0075138797386331705, -0.21328735903098986, 0.0778551342951545, -0.23846567959173934, -0.20771856821904128, -0.07044604455435334, 0.02195222750487556, -0.08736651896970807, -0.28049105613238434, 0.034573822957123385, 0.0871818519080989, 0.05606842623394612, -0.04726039468879243, -0.07955640929980905, -0.026161892286671155, 0.14732776234147907, 0.033430000513870656, 0.047814865699400765, 0.07490102510729973, -0.11287775056364087, -0.15018170383190374, 0.32240203460194655, -0.04916213967008879, -0.2146457415814935, 0.12807942112732387, -0.17813032929628314, -0.2161819821060333, 0.08040853109597773, 0.10111910755467879, 0.1333988645845758, -0.17324229560736884, 0.13542485526156636, -0.056653166980506826, 0.12303208379534544, 0.07472357033546288, 0.008530334203637071, 0.18961031346388355, 0.1407005260381001, 0.1021705501842881, 0.18120929047196208, 0.020409244389345795, -0.10213740079288745, -0.3980434982033519, -0.16289959812076465, -0.1146562629955361, 0.0995558816274362, -0.10428822191434764, -0.18307500023866533, 0.4427223724385651, 0.18008853656043097, 0.1932176036545523, 0.10064221744640282, 0.24107728497572728, 0.18021557813467967, 0.12093343747199162, 0.060026031717742706, 0.1712497148402761, 0.17467816818018697, 0.04327941569953238, -0.22845333518139874, -0.054912179176296504, 0.2055832107079687] |
711.0932 | FDTD Computation of Human Eye Exposure to Ultra-wideband Electromagnetic
Pulses | With an increase in the application of ultra-wideband (UWB) electromagnetic
pulses in the communications industry, radar, biotechnology and medicine, comes
an interest in UWB exposure safety standards. Despite an increase of the
scientific research on bioeffects of exposure to non-ionizing UWB pulses,
characterization of those effects is far from complete. A numerical
computational approach, such as a finite-difference time domain (FDTD) method,
is required to visualize and understand the complexity of broadband
electromagnetic interactions. The FDTD method has almost no limits in the
description of the geometrical and dispersive properties of the simulated
material, it is numerically robust and appropriate for current computer
technology. In this paper, a complete calculation of exposure of the human eye
to UWB electromagnetic pulses in the frequency range of 3.1-10.6, 22-29, and
57-64 GHz is performed. Computation in this frequency range required a
geometrical resolution of the eye of $\rm 0.1 \: mm$ and an arbitrary precision
in the description of its dielectric properties in terms of the Debye model.
New results show that the interaction of UWB pulses with the eye tissues
exhibits the same properties as the interaction of the continuous
electromagnetic waves (CW) with the frequencies from the pulse's frequency
spectrum. It is also shown that under the same exposure conditions the exposure
to UWB pulses is from one to many orders of magnitude safer than the exposure
to CW.
| physics.med-ph physics.bio-ph | with an increase in the application of ultrawideband uwb electromagnetic pulses in the communications industry radar biotechnology and medicine comes an interest in uwb exposure safety standards despite an increase of the scientific research on bioeffects of exposure to nonionizing uwb pulses characterization of those effects is far from complete a numerical computational approach such as a finitedifference time domain fdtd method is required to visualize and understand the complexity of broadband electromagnetic interactions the fdtd method has almost no limits in the description of the geometrical and dispersive properties of the simulated material it is numerically robust and appropriate for current computer technology in this paper a complete calculation of exposure of the human eye to uwb electromagnetic pulses in the frequency range of 31106 2229 and 5764 ghz is performed computation in this frequency range required a geometrical resolution of the eye of rm 01 mm and an arbitrary precision in the description of its dielectric properties in terms of the debye model new results show that the interaction of uwb pulses with the eye tissues exhibits the same properties as the interaction of the continuous electromagnetic waves cw with the frequencies from the pulses frequency spectrum it is also shown that under the same exposure conditions the exposure to uwb pulses is from one to many orders of magnitude safer than the exposure to cw | [['with', 'an', 'increase', 'in', 'the', 'application', 'of', 'ultrawideband', 'uwb', 'electromagnetic', 'pulses', 'in', 'the', 'communications', 'industry', 'radar', 'biotechnology', 'and', 'medicine', 'comes', 'an', 'interest', 'in', 'uwb', 'exposure', 'safety', 'standards', 'despite', 'an', 'increase', 'of', 'the', 'scientific', 'research', 'on', 'bioeffects', 'of', 'exposure', 'to', 'nonionizing', 'uwb', 'pulses', 'characterization', 'of', 'those', 'effects', 'is', 'far', 'from', 'complete', 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711.0933 | 86-km optical link with a resolution of 2.10-18 for RF frequency
transfer | RF frequency transfer over an urban 86 km fibre has been demonstrated with a
resolution of 2.10-18 at one day measuring time using an optical compensator.
This result is obtained with a reference carrier frequency of 1 GHz, and a
rapid scrambling of the polarisation state of the input light in order to
reduce the sensitivity to the polarisation mode dispersion in the fibre. The
limitation due to the fibre chromatic dispersion associated with the laser
frequency fluctuations is highlighted and analyzed. A preliminary test of an
extended compensated link over 186 km using optical amplifiers gives a
resolution below 10-17 at 1 day.
| quant-ph | rf frequency transfer over an urban 86 km fibre has been demonstrated with a resolution of 21018 at one day measuring time using an optical compensator this result is obtained with a reference carrier frequency of 1 ghz and a rapid scrambling of the polarisation state of the input light in order to reduce the sensitivity to the polarisation mode dispersion in the fibre the limitation due to the fibre chromatic dispersion associated with the laser frequency fluctuations is highlighted and analyzed a preliminary test of an extended compensated link over 186 km using optical amplifiers gives a resolution below 1017 at 1 day | [['rf', 'frequency', 'transfer', 'over', 'an', 'urban', '86', 'km', 'fibre', 'has', 'been', 'demonstrated', 'with', 'a', 'resolution', 'of', '21018', 'at', 'one', 'day', 'measuring', 'time', 'using', 'an', 'optical', 'compensator', 'this', 'result', 'is', 'obtained', 'with', 'a', 'reference', 'carrier', 'frequency', 'of', '1', 'ghz', 'and', 'a', 'rapid', 'scrambling', 'of', 'the', 'polarisation', 'state', 'of', 'the', 'input', 'light', 'in', 'order', 'to', 'reduce', 'the', 'sensitivity', 'to', 'the', 'polarisation', 'mode', 'dispersion', 'in', 'the', 'fibre', 'the', 'limitation', 'due', 'to', 'the', 'fibre', 'chromatic', 'dispersion', 'associated', 'with', 'the', 'laser', 'frequency', 'fluctuations', 'is', 'highlighted', 'and', 'analyzed', 'a', 'preliminary', 'test', 'of', 'an', 'extended', 'compensated', 'link', 'over', '186', 'km', 'using', 'optical', 'amplifiers', 'gives', 'a', 'resolution', 'below', '1017', 'at', '1', 'day']] | [-0.1483684609433672, 0.14928325106736268, -0.05104688138593561, -0.04788954563488145, -0.016301278938324407, -0.12085570690060894, 0.04641410180304844, 0.42991139463937056, -0.22699341272863632, -0.2882300204454133, 0.1274710217705713, -0.25875624158204746, -0.03020105250358868, 0.2467057513153682, -0.07577863510232419, 0.02638405687489117, 0.011617444607859047, 0.010138824577622402, -0.03005089875883781, -0.1560438901427775, 0.2202263408107683, 0.11912616571554771, 0.3136520036496222, 0.03282730447916457, 0.1779145419361437, -0.010672289940815132, -0.05736623039970604, -0.04271457141910035, -0.091996191250823, 0.08812880958430469, 0.2543033710277926, 0.04055016819844381, 0.24758765796342722, -0.3283247056309707, -0.21340990832182938, 0.07143406197876455, 0.11136818713188965, 0.08232809010391626, 0.0023208171165046785, -0.2724163664880997, 0.07295397472514126, -0.19440281798597425, -0.19092872948385775, 0.035376168366593234, 0.02010858714885007, 0.010232163817048646, -0.23161850055196107, 0.04209412791085644, 0.0033099449871000475, 0.14441712788091257, -0.034440773798940845, -0.07628788005632277, -0.018088969867676497, 0.07570568703074688, -0.014743619235769775, 0.07896580041135447, 0.1113259584750407, -0.1068169874645089, -0.08823623253556434, 0.37040954153501215, -0.12959815394872118, -0.09326025904682375, 0.14033457364600438, -0.17947337402102465, -0.040950249072361306, 0.2042177220663199, 0.1574404284519215, 0.026691644797280718, -0.07706250663278087, -0.011887819668537794, 0.0475036854757211, 0.2893763856890683, 0.16566245560534298, 0.09445974147036815, 0.21226009980847055, 0.20409391834311044, 0.06528282256868596, 0.10432294997064254, -0.19935856991091547, 0.009180057484907312, -0.25219660392031074, -0.12791179746384912, -0.17478408458583333, 0.0877209834938045, -0.10795464762010781, -0.05996322369453712, 0.43862915579945994, 0.12015835055185911, 0.17714207641816196, 0.036252699572987, 0.3346352886919004, 0.15516011637289642, 0.09464565886614415, 0.026244738488458097, 0.2977650833960909, 0.18702086452573824, 0.14224838998905817, -0.2075812990974205, -0.026143061915018525, -0.027277991285350602] |
711.0934 | Time-Depentent Hartree-Fock description of heavy ions fusion | A microscopic mean-field description of heavy ions fusion is performed in the
framework of the Time-Dependent Hartree-Fock (TDHF) theory using a Skyrme
interaction with the SLy4d parametrization. A good agreement with experiments
is obtained on the position of the fusion barriers for various total masses,
mass asymmetries and deformations. The excitation function of the 16O+208Pb is
overestimated by about 16% above the barrier. The restriction to an independent
particles state in the mean-field dynamics prevents the description of
sub-barrier fusion. Effect of transfer on fusion is discussed.
| nucl-th | a microscopic meanfield description of heavy ions fusion is performed in the framework of the timedependent hartreefock tdhf theory using a skyrme interaction with the sly4d parametrization a good agreement with experiments is obtained on the position of the fusion barriers for various total masses mass asymmetries and deformations the excitation function of the 16o208pb is overestimated by about 16 above the barrier the restriction to an independent particles state in the meanfield dynamics prevents the description of subbarrier fusion effect of transfer on fusion is discussed | [['a', 'microscopic', 'meanfield', 'description', 'of', 'heavy', 'ions', 'fusion', 'is', 'performed', 'in', 'the', 'framework', 'of', 'the', 'timedependent', 'hartreefock', 'tdhf', 'theory', 'using', 'a', 'skyrme', 'interaction', 'with', 'the', 'sly4d', 'parametrization', 'a', 'good', 'agreement', 'with', 'experiments', 'is', 'obtained', 'on', 'the', 'position', 'of', 'the', 'fusion', 'barriers', 'for', 'various', 'total', 'masses', 'mass', 'asymmetries', 'and', 'deformations', 'the', 'excitation', 'function', 'of', 'the', '16o208pb', 'is', 'overestimated', 'by', 'about', '16', 'above', 'the', 'barrier', 'the', 'restriction', 'to', 'an', 'independent', 'particles', 'state', 'in', 'the', 'meanfield', 'dynamics', 'prevents', 'the', 'description', 'of', 'subbarrier', 'fusion', 'effect', 'of', 'transfer', 'on', 'fusion', 'is', 'discussed']] | [-0.08282637091212754, 0.14977569880284136, -0.0880594520374786, 0.11265279158278434, 0.03137835847257182, -0.08419330804175588, 0.04087480581446746, 0.33431518192641263, -0.22467733698702136, -0.28654005049273024, -0.040852424204024636, -0.29965442667043835, -0.022438995280238086, 0.13993796561086594, 0.027942754257860226, 0.05963044583277647, 0.1023098049620383, 0.08205933567829603, -0.08384294806827985, -0.16399677444877492, 0.32354912889287485, 0.1249349157997342, 0.2857636166519897, 0.14371174341067672, 0.08356568672380216, 0.07972885488510825, 0.03445988346086165, -0.02283768398080801, -0.1299517336572239, 0.11818839277162455, 0.20482442107628274, 0.01807998506435894, 0.207721974787324, -0.4449433827946006, -0.22980978532672622, 0.021002562250941992, 0.13098782181014243, 0.18212855802199177, -0.1037090647326739, -0.2830126542857913, 0.03674408708439143, -0.24846570678921634, -0.133158921345332, -0.07497455355126498, 0.02689624428315911, 0.04074730115487825, -0.3121235519322718, 0.09454857126192384, -0.01572298714728636, 0.06631613282356845, -0.14869961494493278, -0.16307272647269244, -0.052019879927176466, 0.06554477227050377, 0.03089579431946541, 0.034071628302119156, 0.21742787994011198, -0.1671107579246001, -0.09014247152087994, 0.3856564194700399, -0.034079540068781826, -0.18522948162023758, 0.1587809570198662, -0.12385950627910017, -0.0780131779516354, 0.17598504548740768, 0.1178773212744746, 0.13630263460258585, -0.18089888466868637, 0.08772497837429022, -0.026159196810493637, 0.13966218116801493, 0.03929337450617188, -0.03415991041105752, 0.15492458067574474, 0.22546705796361663, -0.01574262042075049, 0.05269021145609576, -0.11783491987951619, -0.20543724141451855, -0.34809356005212594, -0.050586051047714645, -0.14256637386956014, 0.02830322776639531, -0.04042923589068503, -0.11160763800360782, 0.37378106216445217, 0.12255503589200765, 0.22557861299448928, -0.002327472718735767, 0.27240862753675427, 0.14244400468373367, 0.0698966748693005, -0.011107865320302026, 0.29613971138416334, 0.22409578207555378, 0.05208869186381614, -0.28430882016694997, 0.041019725505002706, 0.08942475968831066] |
711.0935 | CP violation and the H-A lineshape | In two-Higgs doublet models (and particularly in the MSSM) the CP-even (H)
and CP-odd (A) neutral scalars are nearly degenerate in mass, and their
s-channel production would lead to nearly overlapping resonances. CP-violating
effects may connect these two Higgs bosons, giving origin to one-loop particle
mixing, which, due to their mass proximity, can be resonantly enhanced,
altering their lineshape significantly. We show that, in general, the effect of
such a CP-violating mixing cannot be mimicked by (or be re-absorbed into) a
simple redefinition of the H and A masses in the context of a CP-conserving
model. Specifically, the effects of the CP-mixing are such that, either the
mass-splitting of the H and A bosons lies outside the range allowed by the
theory in the absence of CP-mixing, and/or the detailed energy dependence of
the produced lineshape is clearly different from the one obtained by redefining
the masses, but not allowing any mixing.
| hep-ph | in twohiggs doublet models and particularly in the mssm the cpeven h and cpodd a neutral scalars are nearly degenerate in mass and their schannel production would lead to nearly overlapping resonances cpviolating effects may connect these two higgs bosons giving origin to oneloop particle mixing which due to their mass proximity can be resonantly enhanced altering their lineshape significantly we show that in general the effect of such a cpviolating mixing cannot be mimicked by or be reabsorbed into a simple redefinition of the h and a masses in the context of a cpconserving model specifically the effects of the cpmixing are such that either the masssplitting of the h and a bosons lies outside the range allowed by the theory in the absence of cpmixing andor the detailed energy dependence of the produced lineshape is clearly different from the one obtained by redefining the masses but not allowing any mixing | [['in', 'twohiggs', 'doublet', 'models', 'and', 'particularly', 'in', 'the', 'mssm', 'the', 'cpeven', 'h', 'and', 'cpodd', 'a', 'neutral', 'scalars', 'are', 'nearly', 'degenerate', 'in', 'mass', 'and', 'their', 'schannel', 'production', 'would', 'lead', 'to', 'nearly', 'overlapping', 'resonances', 'cpviolating', 'effects', 'may', 'connect', 'these', 'two', 'higgs', 'bosons', 'giving', 'origin', 'to', 'oneloop', 'particle', 'mixing', 'which', 'due', 'to', 'their', 'mass', 'proximity', 'can', 'be', 'resonantly', 'enhanced', 'altering', 'their', 'lineshape', 'significantly', 'we', 'show', 'that', 'in', 'general', 'the', 'effect', 'of', 'such', 'a', 'cpviolating', 'mixing', 'can', 'not', 'be', 'mimicked', 'by', 'or', 'be', 'reabsorbed', 'into', 'a', 'simple', 'redefinition', 'of', 'the', 'h', 'and', 'a', 'masses', 'in', 'the', 'context', 'of', 'a', 'cpconserving', 'model', 'specifically', 'the', 'effects', 'of', 'the', 'cpmixing', 'are', 'such', 'that', 'either', 'the', 'masssplitting', 'of', 'the', 'h', 'and', 'a', 'bosons', 'lies', 'outside', 'the', 'range', 'allowed', 'by', 'the', 'theory', 'in', 'the', 'absence', 'of', 'cpmixing', 'andor', 'the', 'detailed', 'energy', 'dependence', 'of', 'the', 'produced', 'lineshape', 'is', 'clearly', 'different', 'from', 'the', 'one', 'obtained', 'by', 'redefining', 'the', 'masses', 'but', 'not', 'allowing', 'any', 'mixing']] | [-0.10607691279009861, 0.2780835633090046, -0.03621011852207624, 0.12086680303616876, -0.06468823038991176, -0.168249248292638, 0.046439337993825915, 0.32913598809026035, -0.2400374467168125, -0.31477122591029294, 0.03234476812664736, -0.2626158607807132, -0.043118876875286885, 0.13006725319999032, 0.02728380988278956, -0.013492103635631745, 0.045996854057401615, 0.00513736073694685, -0.05554677240605302, -0.21176147359739866, 0.3315058034309034, 0.004018074281976309, 0.15339933424652402, 0.11421292035663927, -0.006683547445420736, 0.004836364603583135, -0.01463670476934769, -0.02192572121404939, -0.08164722792048303, 0.07376511755636801, 0.1704259635526065, 0.061150418390562525, 0.1645001302704556, -0.35451503476018414, -0.16170884262210403, 0.17374756710689052, 0.20485199801015114, 0.11708761000126186, -0.057213647327586714, -0.33864468207896314, 0.017458402375185412, -0.17868904466550567, -0.10550411636225904, -0.05942198932414351, -0.06874737706571038, -0.097071456467258, -0.3394528919331778, 0.0885272321178657, 0.00678735728538443, 0.011186000064899537, -0.0024179174310643395, -0.13229953983929496, -0.13055047320408952, 0.05557924396285385, 0.11128371682100217, -0.03150405430423668, 0.16576164340283844, -0.1770077261714618, -0.10425341871279456, 0.4372279992801886, -0.13424049425273646, -0.19636390717194896, 0.1845797042672833, -0.19609477983641566, -0.10100476329634879, 0.1512547926672923, 0.1787476232366673, 0.08653671936332888, -0.16641189675972937, 0.14947577662959244, -0.01612713633202552, 0.13308670575269407, 0.06914062067726323, 0.06876989412524744, 0.28209324796787566, 0.11022714685246933, 0.01711940411721764, 0.04089052030844066, -0.07020978530369748, -0.07701492952669856, -0.3488720873358592, -0.13320447101099478, -0.08823727795951604, 0.032204469059650284, -0.07331510514979253, -0.11781757220236305, 0.41766076695152676, 0.12509833992492359, 0.26564709894249544, -0.02846286186470583, 0.271193418073547, 0.12746155167035028, 0.12058522050068074, 0.02062203178526164, 0.35408139817136663, 0.14800408499291032, 0.06787438402743706, -0.2460204133949565, 0.048186379245724345, 0.012704586111057818] |
711.0936 | Gluon mass and freezing of the QCD coupling | Infrared finite solutions for the gluon propagator of pure QCD are obtained
from the gauge-invariant non-linear Schwinger-Dyson equation formulated in the
Feynman gauge of the background field method. These solutions may be fitted
using a massive propagator, with the special characteristic that the effective
mass employed drops asymptotically as the inverse square of the momentum
transfer, in agreement with general operator-product expansion arguments. Due
to the presence of the dynamical gluon mass the strong effective charge
extracted from these solutions freezes at a finite value, giving rise to an
infrared fixed point for QCD.
| hep-ph | infrared finite solutions for the gluon propagator of pure qcd are obtained from the gaugeinvariant nonlinear schwingerdyson equation formulated in the feynman gauge of the background field method these solutions may be fitted using a massive propagator with the special characteristic that the effective mass employed drops asymptotically as the inverse square of the momentum transfer in agreement with general operatorproduct expansion arguments due to the presence of the dynamical gluon mass the strong effective charge extracted from these solutions freezes at a finite value giving rise to an infrared fixed point for qcd | [['infrared', 'finite', 'solutions', 'for', 'the', 'gluon', 'propagator', 'of', 'pure', 'qcd', 'are', 'obtained', 'from', 'the', 'gaugeinvariant', 'nonlinear', 'schwingerdyson', 'equation', 'formulated', 'in', 'the', 'feynman', 'gauge', 'of', 'the', 'background', 'field', 'method', 'these', 'solutions', 'may', 'be', 'fitted', 'using', 'a', 'massive', 'propagator', 'with', 'the', 'special', 'characteristic', 'that', 'the', 'effective', 'mass', 'employed', 'drops', 'asymptotically', 'as', 'the', 'inverse', 'square', 'of', 'the', 'momentum', 'transfer', 'in', 'agreement', 'with', 'general', 'operatorproduct', 'expansion', 'arguments', 'due', 'to', 'the', 'presence', 'of', 'the', 'dynamical', 'gluon', 'mass', 'the', 'strong', 'effective', 'charge', 'extracted', 'from', 'these', 'solutions', 'freezes', 'at', 'a', 'finite', 'value', 'giving', 'rise', 'to', 'an', 'infrared', 'fixed', 'point', 'for', 'qcd']] | [-0.07407801893807234, 0.17657773754143954, -0.1523664790215565, 0.10721748035173229, -0.0679675975933354, -0.07786826411524708, 0.02167111738248074, 0.3069412692826479, -0.19979280720841378, -0.23537602660028226, 0.071316291357668, -0.28593140670365874, -0.06902869015020575, 0.12049479371907705, 0.04268424446753999, 0.07101489709160153, 0.019314538974790497, 0.04444729177865814, -0.10426595364449585, -0.2131807597656239, 0.35699379489697675, 0.025910802855542762, 0.2485814951162072, 0.09051188108501361, 0.12623459698156791, 0.03217762646740897, -0.05408521793148619, 0.03753921177555272, -0.12382777083575035, 0.028225322101671408, 0.2386360633499088, -0.003286187021814762, 0.17854161346777084, -0.37342059517160375, -0.1850100016379927, 0.07370315103524147, 0.18489720734292048, 0.14541186161458175, -0.05825062027755887, -0.2518824316125284, 0.05000773417525627, -0.1848131107393048, -0.23258639854859522, -0.09735597331483076, -0.05098563589606474, -0.029515876761697073, -0.32810881037383954, 0.1100045572638145, -0.05070026361716644, 0.0068045423584098515, -0.09180591794590347, -0.16717231534099444, -0.06066462131553983, 0.08805232779915503, 0.1094470686289145, 0.10230946890573869, 0.11082802260213437, -0.23062003767018782, -0.08572362933030471, 0.3826839315328509, -0.10352593895538334, -0.18908386927177298, 0.15151116896935918, -0.12748396024107933, -0.06877635462962567, 0.21071548429268233, 0.1175945696440783, 0.14836470754519898, -0.18372937209626777, 0.1510750441960594, -0.02819520695273705, 0.13506239152450283, 0.10881286028752778, 0.05823083071555494, 0.26362759713083506, 0.08233155114972528, 0.007477922543407755, 0.1067556433288004, -0.005848830357748777, -0.16778078012445824, -0.38241242399399583, -0.042957208297671155, -0.1596212788915975, 0.13267461552304474, -0.1933567798201074, -0.2005865485506489, 0.34518097578349743, 0.1332966029468151, 0.16824804720013065, 0.04565057705374474, 0.2711715068113297, 0.24133324166239695, 0.10227252085237427, 0.06973792010165275, 0.2600722145313952, 0.17708847465667318, 0.1465184994567027, -0.3045559304597926, -0.08842153298331702, 0.15273534256390275] |
711.0937 | Fractal Fluctuations and Quantum-Like Chaos in the Brain by Analysis of
Variability of Brain Waves: A New Method Based on a Fractal Variance Function
and Random Matrix Theory | We developed a new method for analysis of fundamental brain waves as recorded
by EEG. To this purpose we introduce a Fractal Variance Function that is based
on the calculation of the variogram. The method is completed by using Random
Matrix Theory. Some examples are given.
| physics.gen-ph | we developed a new method for analysis of fundamental brain waves as recorded by eeg to this purpose we introduce a fractal variance function that is based on the calculation of the variogram the method is completed by using random matrix theory some examples are given | [['we', 'developed', 'a', 'new', 'method', 'for', 'analysis', 'of', 'fundamental', 'brain', 'waves', 'as', 'recorded', 'by', 'eeg', 'to', 'this', 'purpose', 'we', 'introduce', 'a', 'fractal', 'variance', 'function', 'that', 'is', 'based', 'on', 'the', 'calculation', 'of', 'the', 'variogram', 'the', 'method', 'is', 'completed', 'by', 'using', 'random', 'matrix', 'theory', 'some', 'examples', 'are', 'given']] | [-0.044269568742374366, 0.08227188148252342, -0.12028459293524855, 0.08398839855900682, -0.07609950751066208, -0.08081907687870704, 0.005376440973992905, 0.3655981711800332, -0.2046132403699195, -0.25773856837464415, 0.12165809366042199, -0.2551720425810503, -0.2916738744015279, 0.24307205746679203, -0.04718304769662411, 0.09482153138631712, 0.05072131256937333, 0.051134072456751826, -0.04622912625073577, -0.2123767641403348, 0.3272984379436821, 0.05971485457342604, 0.28484792082125077, 0.024214315501487126, 0.12835513455185876, 0.028915436705574393, -0.09245463134720922, 0.04094079837364995, -0.12318579809637056, 0.18077361219785298, 0.23702440327337093, 0.18709412556263091, 0.32041318166960514, -0.4270897671661299, -0.226350283333728, 0.07991954967703509, 0.09034086889384882, 0.10791915257805554, -0.08261164919847784, -0.30929121630185324, 0.15879133153382852, -0.13350232552898966, -0.10742795893051864, -0.09990680064378388, -0.022066483598040497, 0.0061139334398119345, -0.26431054660402564, 0.09674527618588637, -0.002173863295668169, 0.10614785948849242, -0.038227856412286994, -0.10493248565446424, 0.07249777760032726, 0.1123535654446839, 0.028871944042570565, 0.017423248262671026, 0.11713994243789626, -0.04450639683004145, -0.11334956541110802, 0.31313462442030077, -0.07730405623822109, -0.24310577818718943, 0.14032253261108923, -0.11342653836143891, -0.14950839728724374, 0.09384782713554475, 0.19417369468441315, 0.11730394994273134, -0.19995408553792082, 0.06219959259033203, -0.03963818522575109, 0.15465207932435948, 0.02336415604931181, -0.06324873735075412, 0.11362204060930273, 0.21479118036349182, 0.015295431129229457, 0.18274278070210762, -0.1027285244224755, -0.02142838605315141, -0.339448262653921, -0.12540217183287378, -0.27929117700651934, 0.013183099499893497, -0.07327897039889965, -0.18217891624764257, 0.46891145687550306, 0.15187651562787916, 0.17575215432873886, 0.07377404520166633, 0.29951519915915054, 0.16196400821765722, 0.048607769422233105, 0.030333864198916632, 0.15304313461693592, 0.16706717467320192, 0.08810605988432856, -0.14609487020694042, 0.06438022471316483, 0.15464017278028894] |
711.0938 | Commissioning of the ATLAS Level-1 Trigger with Cosmic Rays | The ATLAS detector at CERN's Large Hadron Collider will be exposed to
proton-proton collisions from beams crossing at 40 MHz. A three-level trigger
system was designed to select potentially interesting events and reduce the
incoming rate to 100-200 Hz. The first trigger level (LVL1) is implemented in
custom-built electronics, the second and third trigger levels are realized in
software. Based on calorimeter information and hits in dedicated muon-trigger
detectors, the LVL1 decision is made by the central-trigger processor yielding
an output rate of less than 100 kHz. The allowed latency for the trigger
decision at this stage is less than 2.5 microseconds. Installation of the final
LVL1 trigger system at the ATLAS site is in full swing, to be completed later
this year. We present a status report of the main components of the first-level
trigger and the in-situ commissioning of the full trigger chain with cosmic-ray
muons.
| physics.ins-det hep-ex | the atlas detector at cerns large hadron collider will be exposed to protonproton collisions from beams crossing at 40 mhz a threelevel trigger system was designed to select potentially interesting events and reduce the incoming rate to 100200 hz the first trigger level lvl1 is implemented in custombuilt electronics the second and third trigger levels are realized in software based on calorimeter information and hits in dedicated muontrigger detectors the lvl1 decision is made by the centraltrigger processor yielding an output rate of less than 100 khz the allowed latency for the trigger decision at this stage is less than 25 microseconds installation of the final lvl1 trigger system at the atlas site is in full swing to be completed later this year we present a status report of the main components of the firstlevel trigger and the insitu commissioning of the full trigger chain with cosmicray muons | [['the', 'atlas', 'detector', 'at', 'cerns', 'large', 'hadron', 'collider', 'will', 'be', 'exposed', 'to', 'protonproton', 'collisions', 'from', 'beams', 'crossing', 'at', '40', 'mhz', 'a', 'threelevel', 'trigger', 'system', 'was', 'designed', 'to', 'select', 'potentially', 'interesting', 'events', 'and', 'reduce', 'the', 'incoming', 'rate', 'to', '100200', 'hz', 'the', 'first', 'trigger', 'level', 'lvl1', 'is', 'implemented', 'in', 'custombuilt', 'electronics', 'the', 'second', 'and', 'third', 'trigger', 'levels', 'are', 'realized', 'in', 'software', 'based', 'on', 'calorimeter', 'information', 'and', 'hits', 'in', 'dedicated', 'muontrigger', 'detectors', 'the', 'lvl1', 'decision', 'is', 'made', 'by', 'the', 'centraltrigger', 'processor', 'yielding', 'an', 'output', 'rate', 'of', 'less', 'than', '100', 'khz', 'the', 'allowed', 'latency', 'for', 'the', 'trigger', 'decision', 'at', 'this', 'stage', 'is', 'less', 'than', '25', 'microseconds', 'installation', 'of', 'the', 'final', 'lvl1', 'trigger', 'system', 'at', 'the', 'atlas', 'site', 'is', 'in', 'full', 'swing', 'to', 'be', 'completed', 'later', 'this', 'year', 'we', 'present', 'a', 'status', 'report', 'of', 'the', 'main', 'components', 'of', 'the', 'firstlevel', 'trigger', 'and', 'the', 'insitu', 'commissioning', 'of', 'the', 'full', 'trigger', 'chain', 'with', 'cosmicray', 'muons']] | [-0.10254650219496697, 0.19231961616277074, -0.032764250884623564, 0.04596715293384527, -0.035107812748532995, -0.1550367123818931, 0.025989715322494916, 0.3458280653680024, -0.20849452019758422, -0.3786295793618854, 0.12420189450175999, -0.31241638074654526, 0.05451550334692001, 0.20588382646881606, -0.003098870193815395, 0.046099140294644125, 0.15169946733887676, 0.032399350793215716, -0.018247700356344106, -0.25881040857288323, 0.1873506437604354, 0.23841490094770823, 0.25154448133631774, 0.01899145039640469, 0.1552032822749437, -0.004934286116622388, -0.04349124770330852, -0.11573420832418416, -0.07965756735400846, 0.011564841849788423, 0.2984072057026349, 0.13751746692745756, 0.22887691370951496, -0.4602777554130513, -0.05562671237666645, 0.0722485619839536, 0.08938817077552363, 0.047453712022939874, -0.04671311398333398, -0.29699352846085414, 0.14476387727724976, -0.24509206470357228, -0.1176912358177392, 0.04667531301854306, -0.02922431716044778, 0.006525138507865063, -0.2388952081091702, 0.0078299012073405, -0.031340869086194934, 0.07514196526488826, -0.003348830465405975, -0.1008932079357567, -0.0084155592301937, 0.06369814636466438, -0.020226237767580132, 0.08305394624966701, 0.20165729565124907, -0.10513284119652992, -0.14249728453403007, 0.3023589919385028, 0.013377816404163365, -0.08522569514453819, 0.19703437428289947, -0.21135018955699283, -0.11241275040841062, 0.2446206022398419, 0.24358021651637063, 0.0342577738043125, -0.20848290694954053, -0.021307134680284112, 0.11926380650153103, 0.2500577150805764, 0.1024831088278953, 0.018400111049094735, 0.21879520473287326, 0.30065664660491764, 0.06796574686196025, 0.16040391915347044, -0.1766999276888745, -0.008856277926410357, -0.36147952945073686, -0.12573778814291708, -0.1128043222547292, 0.007319733442272991, 0.018460827318661246, -0.042697466067867736, 0.4139354009921216, 0.1286062735668366, 0.1826810068865498, -0.013255151140197397, 0.32251427508571684, 0.08219351845774289, 0.12072349265987238, 0.045250166187119474, 0.2835086186524889, 0.05467072220562841, 0.19384977228824712, -0.1821552547436823, 0.07645593882436315, 0.02191968590710057] |
711.0939 | Neutrino mixing, flavor states and dark energy | We shortly summarize the quantum field theory formalism for the neutrino
mixing and report on recent results showing that the vacuum condensate induced
by neutrino mixing can be interpreted as a dark energy component of the
Universe.
| hep-th | we shortly summarize the quantum field theory formalism for the neutrino mixing and report on recent results showing that the vacuum condensate induced by neutrino mixing can be interpreted as a dark energy component of the universe | [['we', 'shortly', 'summarize', 'the', 'quantum', 'field', 'theory', 'formalism', 'for', 'the', 'neutrino', 'mixing', 'and', 'report', 'on', 'recent', 'results', 'showing', 'that', 'the', 'vacuum', 'condensate', 'induced', 'by', 'neutrino', 'mixing', 'can', 'be', 'interpreted', 'as', 'a', 'dark', 'energy', 'component', 'of', 'the', 'universe']] | [-0.10752116595520764, 0.3089643045315972, -0.0933048124676822, 0.12516959751578602, -0.02670534121225009, -0.025446817140422157, 0.0027714181672529995, 0.3370932788160202, -0.2215127665046099, -0.2975532554996175, 0.06388827890308725, -0.2157360772426064, -0.11308926001593873, 0.19603762111148318, 0.033847813947579346, -0.009222457562950818, 0.06685729312232218, 0.00651898909662221, -0.052628171674252766, -0.23538917159611308, 0.36942354691642765, 0.06275603649319729, 0.2262749232955881, 0.12704270584760485, 0.11008034562188629, -0.05085338422449658, -0.06503651930472336, -0.0026683152930156604, -0.14218517964980346, 0.03984044381492847, 0.15150057067591194, 0.13542586951390714, 0.12682491815900682, -0.45401148256417867, -0.2598474582254484, 0.10138558523377052, 0.1318680048744018, 0.16791809320047096, -0.1205098830522164, -0.35695453275095773, 0.02192351788383078, -0.2405924103096933, -0.15132078154616663, -0.0928534149519495, -0.07065047611595711, -0.04817713243333069, -0.23271945818654588, 0.10241082937431496, 0.004583876756196086, -0.045495667060635785, -0.023270686522025515, -0.13706028046136773, 0.005967226131139575, 0.008181670718398449, 0.12180520070565713, 0.029564984986004798, 0.16096854222485343, -0.19369896909070983, -0.1394575477351208, 0.3883643142274908, -0.20290086464956403, -0.062001940920143515, 0.06259728180294907, -0.13650690025423426, -0.0957603372029356, 0.06429750712059841, 0.1106310783558198, 0.07378165416318823, -0.12464917780881798, 0.13154909145433102, -0.07898181291750155, 0.12678895764858336, 0.048608038448602765, 0.06485852399035483, 0.33257050208143285, 0.19298145769012942, 0.040075243274505075, 0.02415764529723674, -0.06661856775423763, -0.09511561981226141, -0.4059943971601692, -0.15662018387081697, -0.17613130128262816, 0.1012099343729583, -0.023404088298824767, -0.11434137118929946, 0.4138225093987343, 0.1207469193692747, 0.1894360352559267, -0.024607439424741914, 0.29061003844882993, 0.12637551677274844, -0.005292170391594236, 0.011793130857718957, 0.34706584877661756, 0.20448127273797384, 0.13171131416802873, -0.2809799440909882, 0.003389712212280043, 0.07319207208835192] |
711.094 | Quenching of quantum Hall effect and the role of undoped planes in
multilayered epitaxial graphene | We propose a mechanism for the quenching of the Shubnikov de Haas
oscillations and the quantum Hall effect observed in epitaxial graphene.
Experimental data show that the scattering time of the conduction electron is
magnetic field dependent and of the order of the cyclotron orbit period,
\textit{i.e.} can be much smaller than the zero field scattering time. Our
scenario involves the extraordinary graphene $n=0$ Landau level of the
uncharged layers that produces a high density of states at the Fermi level. We
find that the coupling between this $n=0$ Landau level and the conducting
states of the doped plane leads to a scattering mechanism having the right
magnitude to explain the experimental data.
| cond-mat.mes-hall cond-mat.mtrl-sci | we propose a mechanism for the quenching of the shubnikov de haas oscillations and the quantum hall effect observed in epitaxial graphene experimental data show that the scattering time of the conduction electron is magnetic field dependent and of the order of the cyclotron orbit period textitie can be much smaller than the zero field scattering time our scenario involves the extraordinary graphene n0 landau level of the uncharged layers that produces a high density of states at the fermi level we find that the coupling between this n0 landau level and the conducting states of the doped plane leads to a scattering mechanism having the right magnitude to explain the experimental data | [['we', 'propose', 'a', 'mechanism', 'for', 'the', 'quenching', 'of', 'the', 'shubnikov', 'de', 'haas', 'oscillations', 'and', 'the', 'quantum', 'hall', 'effect', 'observed', 'in', 'epitaxial', 'graphene', 'experimental', 'data', 'show', 'that', 'the', 'scattering', 'time', 'of', 'the', 'conduction', 'electron', 'is', 'magnetic', 'field', 'dependent', 'and', 'of', 'the', 'order', 'of', 'the', 'cyclotron', 'orbit', 'period', 'textitie', 'can', 'be', 'much', 'smaller', 'than', 'the', 'zero', 'field', 'scattering', 'time', 'our', 'scenario', 'involves', 'the', 'extraordinary', 'graphene', 'n0', 'landau', 'level', 'of', 'the', 'uncharged', 'layers', 'that', 'produces', 'a', 'high', 'density', 'of', 'states', 'at', 'the', 'fermi', 'level', 'we', 'find', 'that', 'the', 'coupling', 'between', 'this', 'n0', 'landau', 'level', 'and', 'the', 'conducting', 'states', 'of', 'the', 'doped', 'plane', 'leads', 'to', 'a', 'scattering', 'mechanism', 'having', 'the', 'right', 'magnitude', 'to', 'explain', 'the', 'experimental', 'data']] | [-0.20686506814595346, 0.239303199228196, -0.07929045706163201, 0.05397902688720321, -0.021997804283700156, -0.1070375301281765, 0.07650401121297999, 0.3113800534665321, -0.24292357911281617, -0.3134920708010946, -0.010055792106900661, -0.30413541932944704, -0.10592310578125504, 0.18535258144189695, 0.038508779187975205, -0.00031024307029041566, 0.009260343511349859, -0.008198571234809614, -0.050313366908761384, -0.22070918259812536, 0.3147716073780856, 0.07939502616532444, 0.33034631848104495, 0.07791029052001185, 0.08003592227206491, 0.0062250318088098965, 0.09768151263660026, -0.018467512690519865, -0.1106711814802143, 0.06005764332604059, 0.23833661389215727, -0.08995457994133498, 0.2025553515197429, -0.4573616752065141, -0.17568743287532104, -0.004653390782341295, 0.12983080081279036, 0.16496044389524422, -0.0650057160989402, -0.27217920900083487, 0.03362116284371741, -0.11544555382992644, -0.12964098738193247, -0.03216521970647494, -0.0023832425487483235, -0.09525215876725528, -0.25670457024753623, 0.1452289571886701, 0.0557840773011599, 0.03839275589319918, -0.10945996288951915, -0.11480221466317905, -0.0814858543237391, 0.06531784608002043, 0.0855065219462808, 0.04329012692529931, 0.147567985954373, -0.127508698439275, -0.13007160189635722, 0.364314569963917, -0.08573537541152106, -0.10892327229154453, 0.16415866549266914, -0.2721151527330543, -0.04723722587413756, 0.1616277304700518, 0.1046469513063146, 0.08008145495622823, -0.04347071964788226, 0.11437219754118984, -0.03771363224821841, 0.1728881100693355, 0.0911651126529395, 0.046456911879286696, 0.23276807137031472, 0.17590453697417954, 0.04330658349950295, 0.09595791641849431, -0.1817299157331607, -0.012286091590118883, -0.2553765135776021, -0.1660852899849085, -0.17073513961920464, 0.07514867366848418, -0.06282367828403562, -0.20111042225683948, 0.44297500508548937, 0.1738696230155111, 0.2131439555617692, -0.0016147192810719783, 0.2719667619712387, 0.19145864009778882, 0.07401630505303898, 0.02548560627068566, 0.26166509292541745, 0.12085211066018163, 0.09753323043078448, -0.31744562216469835, 0.03741509514341576, -0.014920314535935434] |
711.0941 | Stationary states of spinless particles in square potentials | The one-dimensional Klein-Gordon equation is investigated with the most
general Lorentz structure for the external potentials. The analysis and
calculation of the reflection and transmission coefficients for the scattering
of particles in a square potential, with an arbitrary mixing of vector and
scalar couplings, reveal circumstances which conflict with the predictions from
nonrelativistic quantum mechanics. It is shown that such anomalous scatterings
are mediated by antiparticle bound states, even if the incident particles have
low energies. The analysis of bound states also reveals surprising results,
remarkable is the inhibition of the Schiff-Snyder-Weinberg effect due to the
presence of a scalar coupling.
| quant-ph | the onedimensional kleingordon equation is investigated with the most general lorentz structure for the external potentials the analysis and calculation of the reflection and transmission coefficients for the scattering of particles in a square potential with an arbitrary mixing of vector and scalar couplings reveal circumstances which conflict with the predictions from nonrelativistic quantum mechanics it is shown that such anomalous scatterings are mediated by antiparticle bound states even if the incident particles have low energies the analysis of bound states also reveals surprising results remarkable is the inhibition of the schiffsnyderweinberg effect due to the presence of a scalar coupling | [['the', 'onedimensional', 'kleingordon', 'equation', 'is', 'investigated', 'with', 'the', 'most', 'general', 'lorentz', 'structure', 'for', 'the', 'external', 'potentials', 'the', 'analysis', 'and', 'calculation', 'of', 'the', 'reflection', 'and', 'transmission', 'coefficients', 'for', 'the', 'scattering', 'of', 'particles', 'in', 'a', 'square', 'potential', 'with', 'an', 'arbitrary', 'mixing', 'of', 'vector', 'and', 'scalar', 'couplings', 'reveal', 'circumstances', 'which', 'conflict', 'with', 'the', 'predictions', 'from', 'nonrelativistic', 'quantum', 'mechanics', 'it', 'is', 'shown', 'that', 'such', 'anomalous', 'scatterings', 'are', 'mediated', 'by', 'antiparticle', 'bound', 'states', 'even', 'if', 'the', 'incident', 'particles', 'have', 'low', 'energies', 'the', 'analysis', 'of', 'bound', 'states', 'also', 'reveals', 'surprising', 'results', 'remarkable', 'is', 'the', 'inhibition', 'of', 'the', 'schiffsnyderweinberg', 'effect', 'due', 'to', 'the', 'presence', 'of', 'a', 'scalar', 'coupling']] | [-0.150284260694666, 0.22982820488715955, -0.08092267494095434, 0.06125919542409074, -0.04093550122343004, -0.17257999672121047, -0.007288532817994456, 0.30652644391180855, -0.2254393794170424, -0.30578833634015357, 0.015752025284011397, -0.32182756298691917, -0.17448758004270126, 0.1419880369235531, 0.07159009349467878, 0.03533673554654279, 0.07341336373165988, 0.07229844693297355, -0.031073422466247978, -0.19212771579529572, 0.33082313672408903, 0.07344309231243326, 0.2657620980321328, 0.1449860721932595, 0.07437217473928438, 0.05353573773351341, 0.02100452386525155, -0.016255382526813463, -0.07654684752960388, 0.08406341465369863, 0.16407226307299172, 0.003632096048112553, 0.18078481874170502, -0.4201174263501226, -0.23170188665943275, 0.09324647062043152, 0.13113739898850182, 0.1350611169294611, -0.08754709535416695, -0.30553358134878156, 0.014594622590005085, -0.1318909164499676, -0.1739813336217315, -0.06331008849527207, 0.03622382645965508, -0.010143217962640937, -0.2893605765196181, 0.1143379046850824, 0.04709458747638924, 0.015454570592224303, -0.09432801691640058, -0.09321598296334949, -0.03932956988591295, 0.05042908397401766, 0.10904618548367652, -0.02161905166259644, 0.11506423821193304, -0.18200100667654803, -0.12448697245108092, 0.41467102495307967, -0.07671096164613299, -0.22662759389691423, 0.1871682725625463, -0.1745785770034141, -0.07670156796011005, 0.14827240752701712, 0.13511392740431324, 0.08971685031428933, -0.1256543538356799, 0.1306404443189737, -0.04032919138536263, 0.1327268257434595, 0.07635757616158612, 0.06618159856142403, 0.1870306919670046, 0.09944189992724078, 0.030065946237156443, 0.10199861970988314, -0.06798271375182684, -0.11909856715488552, -0.3263602614965253, -0.14353089005626407, -0.17258766973114545, 0.07787085829145911, -0.09581202773868895, -0.13977994177447825, 0.3549078668117302, 0.10669246647912677, 0.17991841880899698, 0.0085549419665119, 0.26860370009326107, 0.18917853833351395, 0.07004365439314654, 0.06831425266561679, 0.3107331055078176, 0.223170264958321, 0.055342573868479614, -0.27341550544577436, 0.03903395204924711, 0.006200778671531099] |
711.0942 | Entanglement in the Bose-Einstein condensate phase transition | We determine the behaviour of entanglement between regions of space in a Bose
gas of fixed particle number around the critical temperature condensation.
Long-range correlations develop in the Bose-Einstein condensate (BEC) phase
transition and the aim here is to find out whether spatial coherence alone
implies entanglement. We use a purity measure of entanglement to derive an
entanglement witness that detects entanglement between two regions of space in
the BEC. It is shown that spatial coherence between the two regions is
necessary for entanglement with coherence and entanglement becoming equivalent
only when the regions occupy the entire confining volume of the gas. The
probabilities for Bosons to occupy the regions is the only other parameter that
influences the amount of entanglement. We calculate explicitly the amount of
entanglement between two regions for a cigar-shaped harmonic potential and find
that it increases with decreasing temperature. A second entanglement witness is
derived for entanglement between three regions of space, where again spatial
coherence between each pair of regions is precursor to entanglement. It is
shown that the state with the maximum amount of entanglement occurs when the
probabilities for the Bosons to occupy the three regions are equal.
| quant-ph | we determine the behaviour of entanglement between regions of space in a bose gas of fixed particle number around the critical temperature condensation longrange correlations develop in the boseeinstein condensate bec phase transition and the aim here is to find out whether spatial coherence alone implies entanglement we use a purity measure of entanglement to derive an entanglement witness that detects entanglement between two regions of space in the bec it is shown that spatial coherence between the two regions is necessary for entanglement with coherence and entanglement becoming equivalent only when the regions occupy the entire confining volume of the gas the probabilities for bosons to occupy the regions is the only other parameter that influences the amount of entanglement we calculate explicitly the amount of entanglement between two regions for a cigarshaped harmonic potential and find that it increases with decreasing temperature a second entanglement witness is derived for entanglement between three regions of space where again spatial coherence between each pair of regions is precursor to entanglement it is shown that the state with the maximum amount of entanglement occurs when the probabilities for the bosons to occupy the three regions are equal | [['we', 'determine', 'the', 'behaviour', 'of', 'entanglement', 'between', 'regions', 'of', 'space', 'in', 'a', 'bose', 'gas', 'of', 'fixed', 'particle', 'number', 'around', 'the', 'critical', 'temperature', 'condensation', 'longrange', 'correlations', 'develop', 'in', 'the', 'boseeinstein', 'condensate', 'bec', 'phase', 'transition', 'and', 'the', 'aim', 'here', 'is', 'to', 'find', 'out', 'whether', 'spatial', 'coherence', 'alone', 'implies', 'entanglement', 'we', 'use', 'a', 'purity', 'measure', 'of', 'entanglement', 'to', 'derive', 'an', 'entanglement', 'witness', 'that', 'detects', 'entanglement', 'between', 'two', 'regions', 'of', 'space', 'in', 'the', 'bec', 'it', 'is', 'shown', 'that', 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'the', 'maximum', 'amount', 'of', 'entanglement', 'occurs', 'when', 'the', 'probabilities', 'for', 'the', 'bosons', 'to', 'occupy', 'the', 'three', 'regions', 'are', 'equal']] | [-0.13139125431011126, 0.24955248935167423, -0.06781239408348706, 0.08082887605818616, 0.05991464184255016, -0.1476065403477726, 0.04450577833304866, 0.37285739139235596, -0.2177028045264947, -0.2544527204436421, 0.027317346314239144, -0.31383360499440105, -0.05941954420936503, 0.13669121252284955, 0.023012878233091717, 0.006122998085184194, -0.005213917784240781, 0.07661583272464649, -0.07080837083405492, -0.25245938962325454, 0.3687613724483823, 0.018784054284155065, 0.3115777815288237, 0.10446490218615806, 0.08990625097482864, -0.042649353476064085, 0.03145838828225221, 0.008420500324175418, -0.1456737110046542, 0.07123321915765254, 0.22748634292344963, 0.1221340549949376, 0.26075685033764767, -0.3589358509480193, -0.21051710726674266, 0.1802127030119775, 0.16459081614121548, 0.12801946513829943, 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711.0943 | Quantum measurements without macroscopic superpositions | We study a class of quantum measurement models. A microscopic object is
entangled with a macroscopic pointer such that each eigenvalue of the measured
object observable is tied up with a specific pointer deflection. Different
pointer positions mutually decohere under the influence of a bath.
Object-pointer entanglement and decoherence of distinct pointer readouts
proceed simultaneously. Mixtures of macroscopically distinct object-pointer
states may then arise without intervening macroscopic superpositions.
Initially, object and apparatus are statistically independent while the latter
has pointer and bath correlated according to a metastable local thermal
equilibrium. We obtain explicit results for the object-pointer dynamics with
temporal coherence decay in general neither exponential nor Gaussian. The
decoherence time does not depend on details of the pointer-bath coupling if it
is smaller than the bath correlation time, whereas in the opposite Markov
regime the decay depends strongly on whether that coupling is Ohmic or
super-Ohmic.
| quant-ph | we study a class of quantum measurement models a microscopic object is entangled with a macroscopic pointer such that each eigenvalue of the measured object observable is tied up with a specific pointer deflection different pointer positions mutually decohere under the influence of a bath objectpointer entanglement and decoherence of distinct pointer readouts proceed simultaneously mixtures of macroscopically distinct objectpointer states may then arise without intervening macroscopic superpositions initially object and apparatus are statistically independent while the latter has pointer and bath correlated according to a metastable local thermal equilibrium we obtain explicit results for the objectpointer dynamics with temporal coherence decay in general neither exponential nor gaussian the decoherence time does not depend on details of the pointerbath coupling if it is smaller than the bath correlation time whereas in the opposite markov regime the decay depends strongly on whether that coupling is ohmic or superohmic | [['we', 'study', 'a', 'class', 'of', 'quantum', 'measurement', 'models', 'a', 'microscopic', 'object', 'is', 'entangled', 'with', 'a', 'macroscopic', 'pointer', 'such', 'that', 'each', 'eigenvalue', 'of', 'the', 'measured', 'object', 'observable', 'is', 'tied', 'up', 'with', 'a', 'specific', 'pointer', 'deflection', 'different', 'pointer', 'positions', 'mutually', 'decohere', 'under', 'the', 'influence', 'of', 'a', 'bath', 'objectpointer', 'entanglement', 'and', 'decoherence', 'of', 'distinct', 'pointer', 'readouts', 'proceed', 'simultaneously', 'mixtures', 'of', 'macroscopically', 'distinct', 'objectpointer', 'states', 'may', 'then', 'arise', 'without', 'intervening', 'macroscopic', 'superpositions', 'initially', 'object', 'and', 'apparatus', 'are', 'statistically', 'independent', 'while', 'the', 'latter', 'has', 'pointer', 'and', 'bath', 'correlated', 'according', 'to', 'a', 'metastable', 'local', 'thermal', 'equilibrium', 'we', 'obtain', 'explicit', 'results', 'for', 'the', 'objectpointer', 'dynamics', 'with', 'temporal', 'coherence', 'decay', 'in', 'general', 'neither', 'exponential', 'nor', 'gaussian', 'the', 'decoherence', 'time', 'does', 'not', 'depend', 'on', 'details', 'of', 'the', 'pointerbath', 'coupling', 'if', 'it', 'is', 'smaller', 'than', 'the', 'bath', 'correlation', 'time', 'whereas', 'in', 'the', 'opposite', 'markov', 'regime', 'the', 'decay', 'depends', 'strongly', 'on', 'whether', 'that', 'coupling', 'is', 'ohmic', 'or', 'superohmic']] | [-0.13033577365870908, 0.2920359278907872, -0.11061480820612753, 0.05364271035427483, -0.030478876690086844, -0.2522099793785768, 0.012911516493696668, 0.36967338274603023, -0.24866907927526594, -0.2455682197668628, 0.02971918816512374, -0.27381589727744154, -0.04280451553305994, 0.14396115660201758, -0.00103604087720893, 0.04747545648021751, 0.0823979055770507, 0.062072039377709776, -0.041705328406612965, -0.183011191082187, 0.31558916615067073, 0.03708712177666874, 0.27556916350524313, 0.006963896180410576, 0.12073559724815087, -0.005730291308631024, 0.028010265266982047, 0.01838477307802811, -0.07629895851397583, 0.012713580842413749, 0.2025650304064447, 0.08901034406746526, 0.25732310208785414, -0.4503934354814765, -0.15740866393304576, 0.14594900995422766, 0.1318695089135523, 0.16894500672479149, 0.03562270648369234, -0.3142389692110966, -0.031248911787845092, -0.13372887945606385, -0.09523023839893253, -0.06573154100325367, 0.04364524599824943, -0.0043634806625610905, -0.24575203664486028, 0.14014455101337947, 0.10022791366615932, 0.02136195954158647, -0.04820248801803395, -0.04004362072916829, -0.01365524575701111, 0.1180660966026265, 0.00545426520314833, -0.025835689169606706, 0.23181684019980148, -0.102192647879535, -0.10422019730282195, 0.31932861533188195, -0.07862778991504256, -0.24259686146141987, 0.23186501480434854, -0.1565480161943052, -0.10677545757530486, 0.12667919525857504, 0.10137234616399526, 0.11864391558529325, -0.14422558734116897, 0.03819649419404426, -0.03865449052792017, 0.22100905027106557, 0.07528380842318069, 0.14506383611994464, 0.22626964368359886, 0.10972182896252951, 0.06550729015845269, 0.16880362529039689, -0.06238000140818831, -0.15792184628622785, -0.3154987498881831, -0.13092116294237338, -0.24002083297021534, 0.12020742024529457, -0.09455937799036404, -0.17606448445649345, 0.3894417134993901, 0.13290249567077422, 0.1694234780048671, 0.042578141287141415, 0.26497609858968846, 0.10482126625560939, 0.023380706424837652, 0.056884066551939304, 0.2626242038874794, 0.1256687208573168, 0.03923776059902643, -0.3024442615434017, 0.1619313452265238, -0.018679224890784347] |
711.0944 | The space of tropically collinear points is shellable | The space T_{d,n} of n tropically collinear points in a fixed tropical
projective space TP^{d-1} is equivalent to the tropicalization of the
determinantal variety of matrices of rank at most 2, which consists of real d x
n matrices of tropical or Kapranov rank at most 2, modulo projective
equivalence of columns. We show that it is equal to the image of the moduli
space M_{0,n}(TP^{d-1},1) of n-marked tropical lines in TP^{d-1} under the
evaluation map. Thus we derive a natural simplicial fan structure for T_{d,n}
using a simplicial fan structure of M_{0,n}(TP^{d-1},1) which coincides with
that of the space of phylogenetic trees on d+n taxa. The space of phylogenetic
trees has been shown to be shellable by Trappmann and Ziegler. Using a similar
method, we show that T_{d,n} is shellable with our simplicial fan structure and
compute the homology of the link of the origin. The shellability of T_{d,n} has
been conjectured by Develin in 2005.
| math.CO math.AG | the space t_dn of n tropically collinear points in a fixed tropical projective space tpd1 is equivalent to the tropicalization of the determinantal variety of matrices of rank at most 2 which consists of real d x n matrices of tropical or kapranov rank at most 2 modulo projective equivalence of columns we show that it is equal to the image of the moduli space m_0ntpd11 of nmarked tropical lines in tpd1 under the evaluation map thus we derive a natural simplicial fan structure for t_dn using a simplicial fan structure of m_0ntpd11 which coincides with that of the space of phylogenetic trees on dn taxa the space of phylogenetic trees has been shown to be shellable by trappmann and ziegler using a similar method we show that t_dn is shellable with our simplicial fan structure and compute the homology of the link of the origin the shellability of t_dn has been conjectured by develin in 2005 | [['the', 'space', 't_dn', 'of', 'n', 'tropically', 'collinear', 'points', 'in', 'a', 'fixed', 'tropical', 'projective', 'space', 'tpd1', 'is', 'equivalent', 'to', 'the', 'tropicalization', 'of', 'the', 'determinantal', 'variety', 'of', 'matrices', 'of', 'rank', 'at', 'most', '2', 'which', 'consists', 'of', 'real', 'd', 'x', 'n', 'matrices', 'of', 'tropical', 'or', 'kapranov', 'rank', 'at', 'most', '2', 'modulo', 'projective', 'equivalence', 'of', 'columns', 'we', 'show', 'that', 'it', 'is', 'equal', 'to', 'the', 'image', 'of', 'the', 'moduli', 'space', 'm_0ntpd11', 'of', 'nmarked', 'tropical', 'lines', 'in', 'tpd1', 'under', 'the', 'evaluation', 'map', 'thus', 'we', 'derive', 'a', 'natural', 'simplicial', 'fan', 'structure', 'for', 't_dn', 'using', 'a', 'simplicial', 'fan', 'structure', 'of', 'm_0ntpd11', 'which', 'coincides', 'with', 'that', 'of', 'the', 'space', 'of', 'phylogenetic', 'trees', 'on', 'dn', 'taxa', 'the', 'space', 'of', 'phylogenetic', 'trees', 'has', 'been', 'shown', 'to', 'be', 'shellable', 'by', 'trappmann', 'and', 'ziegler', 'using', 'a', 'similar', 'method', 'we', 'show', 'that', 't_dn', 'is', 'shellable', 'with', 'our', 'simplicial', 'fan', 'structure', 'and', 'compute', 'the', 'homology', 'of', 'the', 'link', 'of', 'the', 'origin', 'the', 'shellability', 'of', 't_dn', 'has', 'been', 'conjectured', 'by', 'develin', 'in', '2005']] | [-0.1364700882810499, 0.07508147661696728, -0.07369748217445847, 0.06747996019380241, -0.03989891456838354, -0.09289570353116448, 0.021684279138418406, 0.3422012861180854, -0.31386200172557055, -0.2092732398733987, 0.08433631083110078, -0.2556169929142159, -0.20705834675678297, 0.14368090886732957, -0.13694644498173147, -0.00423464592466572, 0.042840918905935006, 0.054206392044618135, -0.08228159817946634, -0.334031154152686, 0.41728476971681966, 0.010655168958596493, 0.22100138841319436, 0.02575510175168012, 0.15314841070396237, 0.004089290167413358, -0.01436172303817186, 0.04116714392167571, -0.11624080652142622, 0.1489705054815491, 0.3114306548775762, 0.18358966152453304, 0.14020483119652213, -0.3563019897372119, -0.14628178557062424, 0.20039088653376033, 0.10384274625960786, -0.008025770426396966, 0.06620995055096787, -0.22926484013135595, 0.13556180607012816, -0.09995198771694529, -0.13324637304207212, -0.062085630222052136, 0.09451496475039196, -0.013682284098314611, -0.23615692897682924, -0.050790904168312216, 0.08540806921787168, 0.13394707183990823, 0.005081852413959017, -0.14501369022151553, -0.11315033628795247, 0.050422594277494535, -0.0549439645240598, 0.09745575952049541, 0.05130303254363274, -0.06813650673843528, -0.1416337075520699, 0.36867161887379263, -0.01728223910628769, -0.1868613451768301, 0.15060002968560807, -0.2018550368221967, -0.16732019535265863, 0.20336786084073155, 0.07727433112181882, 0.15175574555982357, -0.02090779919365703, 0.19683543470378745, -0.17000680356776635, 0.08132721367292106, 0.15034681469918915, -0.06680158819424258, 0.1389945394261495, 0.13803301543597818, 0.11291717089357246, 0.1505891412452911, -0.056261835771453515, -0.04380842352953838, -0.2624264857302861, -0.2040552059831833, -0.18740218080960117, 0.11103811235118069, -0.16897992884083865, -0.1984829966836275, 0.3717357849451027, 0.07301045075598124, 0.23191035072254876, 0.0979234068547253, 0.22381757713829806, -0.0006983359505140566, 0.03574642244922487, 0.06558220559121478, 0.11979596560061175, 0.2116753922968392, -0.023727833382221626, -0.11495527882423055, 0.06311486135727089, 0.21602875849011502] |
711.0945 | The Monitor project: tracking the evolution of low mass and pre-main
sequence stars | The Monitor project is a large-scale program of photometric and spectroscopic
monitoring of young open clusters using telescopes at ESO and other
observatories. Its primary goal is to detect and characterise new low-mass
eclipsing binaries, and the first three detected systems are discussed here. We
derive the masses and radii of the components of each system directly from the
light and radial velocity curves, and compare them to the predictions of
commonly used theoretical evolutionary models of low-mass stars.
| astro-ph | the monitor project is a largescale program of photometric and spectroscopic monitoring of young open clusters using telescopes at eso and other observatories its primary goal is to detect and characterise new lowmass eclipsing binaries and the first three detected systems are discussed here we derive the masses and radii of the components of each system directly from the light and radial velocity curves and compare them to the predictions of commonly used theoretical evolutionary models of lowmass stars | [['the', 'monitor', 'project', 'is', 'a', 'largescale', 'program', 'of', 'photometric', 'and', 'spectroscopic', 'monitoring', 'of', 'young', 'open', 'clusters', 'using', 'telescopes', 'at', 'eso', 'and', 'other', 'observatories', 'its', 'primary', 'goal', 'is', 'to', 'detect', 'and', 'characterise', 'new', 'lowmass', 'eclipsing', 'binaries', 'and', 'the', 'first', 'three', 'detected', 'systems', 'are', 'discussed', 'here', 'we', 'derive', 'the', 'masses', 'and', 'radii', 'of', 'the', 'components', 'of', 'each', 'system', 'directly', 'from', 'the', 'light', 'and', 'radial', 'velocity', 'curves', 'and', 'compare', 'them', 'to', 'the', 'predictions', 'of', 'commonly', 'used', 'theoretical', 'evolutionary', 'models', 'of', 'lowmass', 'stars']] | [-0.08773738169737597, 0.10451281132011474, -0.09760670679255942, 0.10227854108096018, -0.10917856962467203, -0.10692415167164954, 0.04976328412848938, 0.39260910441981084, -0.19875999666526442, -0.36427997849598714, 0.1200565269888862, -0.3327026843245118, -0.04777474571210981, 0.2522476264481916, -0.028739576151335162, 0.05962068385877824, 0.13275758194135903, -0.05390958375108865, -0.03260453171509353, -0.2677628250580423, 0.3294354303020842, 0.043251888178100314, 0.12107362318489276, -0.06934915806897739, 0.06848363478703401, -0.07174757199326554, -0.1271348757952263, -0.038869674470794355, -0.143173775547243, 0.10216185058352148, 0.2524768594950176, 0.19548072762009275, 0.18129756846288336, -0.32720480095359344, -0.159595318515844, 0.058172038797572066, 0.1467268782162367, 0.030704411465816105, -0.01426034797383826, -0.2965022264920835, 0.06660242692885708, -0.15334401774231957, -0.22889223174911133, -0.007388784361508073, 0.032706562718494404, 0.11365837489307823, -0.1922899435592603, 0.035771344453862666, -0.04643723654525378, 0.10108900054864868, -0.16567514807463304, -0.12990788466302985, -0.04170579582900752, 0.18150218061607662, 0.018074182056692204, 0.05609405710939554, 0.10513195150260683, -0.1173593450597004, -0.06844669347039506, 0.3933541966407689, -0.06712795335422211, 9.765754206271111e-06, 0.2759169573141144, -0.16391858047086605, -0.20770547780668056, 0.06038356508140134, 0.24394724281693372, 0.18576268521668035, -0.25072092192742645, -0.025952413706904678, 0.03979958101953793, 0.2115222668154401, -0.0029826540370247786, 0.05248970725231721, 0.345831158184859, 0.15077766814988247, -0.006230428989603084, 0.11570755114316163, -0.24739880043213092, -0.02519209565641948, -0.22012621881086616, -0.1341976784169674, -0.11618541314007266, -0.004175615797550241, -0.0463074796136448, -0.10436465472419144, 0.3794268730886375, 0.13628106184681005, 0.15085874523531315, 0.04540113595762302, 0.33918933171920385, 0.05646849941179345, 0.11193440282198636, 0.06907064006722803, 0.32598606084438064, 0.18532446976397424, 0.07554969726766966, -0.25112272551153564, 0.05373026068687816, -0.019598527525586985] |
711.0946 | Engineering the phase speed of surface-plasmon wave at the planar
interface of a metal and a chiral sculptured thin film | The solution of a boundary-value problem formulated for a modified
Kretschmann configuration shows that the phase speed of a surface-plasmon wave
guided by the planar interface of a sufficiently thin metal film and a chiral
sculptured thin film (STF) depends on the vapor incidence angle used while
fabricating the chiral STF by physical vapor depoistion. Therefore, it may be
possible to engineer the phase speed quite simply by selecting an appropriate
value of the vapor deposition angle (in addition to the metal and the evaporant
species).
| physics.optics | the solution of a boundaryvalue problem formulated for a modified kretschmann configuration shows that the phase speed of a surfaceplasmon wave guided by the planar interface of a sufficiently thin metal film and a chiral sculptured thin film stf depends on the vapor incidence angle used while fabricating the chiral stf by physical vapor depoistion therefore it may be possible to engineer the phase speed quite simply by selecting an appropriate value of the vapor deposition angle in addition to the metal and the evaporant species | [['the', 'solution', 'of', 'a', 'boundaryvalue', 'problem', 'formulated', 'for', 'a', 'modified', 'kretschmann', 'configuration', 'shows', 'that', 'the', 'phase', 'speed', 'of', 'a', 'surfaceplasmon', 'wave', 'guided', 'by', 'the', 'planar', 'interface', 'of', 'a', 'sufficiently', 'thin', 'metal', 'film', 'and', 'a', 'chiral', 'sculptured', 'thin', 'film', 'stf', 'depends', 'on', 'the', 'vapor', 'incidence', 'angle', 'used', 'while', 'fabricating', 'the', 'chiral', 'stf', 'by', 'physical', 'vapor', 'depoistion', 'therefore', 'it', 'may', 'be', 'possible', 'to', 'engineer', 'the', 'phase', 'speed', 'quite', 'simply', 'by', 'selecting', 'an', 'appropriate', 'value', 'of', 'the', 'vapor', 'deposition', 'angle', 'in', 'addition', 'to', 'the', 'metal', 'and', 'the', 'evaporant', 'species']] | [-0.14736845072669288, 0.19585987481644093, -0.06466956934863924, -0.05541880775819577, -0.07091195355834705, -0.13649235987880579, 0.09217864801896558, 0.40160326480067204, -0.25759756080030155, -0.285849640345467, 0.08863440845466573, -0.21038550404565676, -0.13231446372256392, 0.18076995535687143, -0.002297814924358612, 0.08231311649571926, -0.024209964388449277, -0.08705657996636416, -0.04717759709525299, -0.12887433387056393, 0.2986660896512192, 0.03994049704522781, 0.34165735862084795, 0.08635095396589133, 0.08708304210449569, -0.022803422457183756, 0.09274127338236819, 0.06001955180961106, -0.1397762518890453, 0.05214253364413578, 0.2238750655558847, -0.023829541241173587, 0.19608128753801188, -0.48234167216079576, -0.24115357268601656, -0.025861420275066934, 0.11999225151902508, 0.12660358461185492, -0.1257641712173132, -0.2670787836735447, 0.020091352867893875, -0.10384246955038093, -0.23684762598436682, 0.00043318019292893864, -0.014455472263285802, -0.04103234028956476, -0.27150088667985983, -0.0012578801861742423, 0.03697911096138081, 0.022390818179008506, -0.02674978917154173, -0.08582817372821626, -0.10759315519438435, 0.0366200215122219, 0.027194379285598796, 0.07642619566260171, 0.1918323155107265, -0.15492133499078808, -0.01717247443628453, 0.41026677036037046, -0.08550887895260184, -0.1943883746197181, 0.13946328811081393, -0.11756644348636092, 0.0443854126414018, 0.179315237733092, 0.1309462366958282, 0.17998274655214377, -0.13646539149894601, 0.043071375792524555, -0.023778290071883628, 0.2196077523459237, 0.20324558856165303, -0.04907269204323668, 0.24849785000108005, 0.2148285106356655, 0.047663250538919656, 0.1482909680441177, -0.09857833291503734, -0.043312648555868125, -0.21594385871624885, -0.20258938855979414, -0.20604717473421866, 0.033086864344763205, -0.14106365412416857, -0.23580353520810604, 0.41810735190908116, 0.096974264882322, 0.16699179859521487, -0.06287688450399964, 0.287143969353998, 0.09006130246312491, 0.048492146109873874, -0.007066161978790271, 0.3124691626788782, 0.15006332643263573, 0.14673228336011693, -0.24749697586299763, 0.13705226644829271, 0.06771516646092225] |
711.0947 | Rings whose modules are weakly supplemented are perfect | In this note we show that a ring R is left perfect if and only if every left
R-module is weakly supplemented if and only if R is semilocal and the radical
of the countably infinite free left R-module has a weak supplement.
| math.RA | in this note we show that a ring r is left perfect if and only if every left rmodule is weakly supplemented if and only if r is semilocal and the radical of the countably infinite free left rmodule has a weak supplement | [['in', 'this', 'note', 'we', 'show', 'that', 'a', 'ring', 'r', 'is', 'left', 'perfect', 'if', 'and', 'only', 'if', 'every', 'left', 'rmodule', 'is', 'weakly', 'supplemented', 'if', 'and', 'only', 'if', 'r', 'is', 'semilocal', 'and', 'the', 'radical', 'of', 'the', 'countably', 'infinite', 'free', 'left', 'rmodule', 'has', 'a', 'weak', 'supplement']] | [-0.18397178297299285, 0.1352408883096867, -0.07018480199757357, 0.001867039459432627, -0.024171196985556635, -0.2775724137981617, -0.09374406561255455, 0.4035923751287682, -0.3950063388708026, -0.05228000747169866, 0.16152048474556746, -0.3334561040581659, -0.05907928482845946, 0.10408664529406747, -0.10862076884612094, -0.1690656209776048, 0.0920839948189813, 0.2003015796545633, 0.013067087911199345, -0.3048002926069637, 0.3171715281773792, -0.01171687137075635, 0.11885090616293424, 0.1392232413447007, 0.16772990606638583, 0.024695047458937, -0.017575387648025225, 0.06540819123214067, -0.1855931315027234, 0.022557096252607746, 0.24893654033888218, 0.09548220831121124, 0.30377426986084427, -0.38966795335033755, -0.08618060423624377, 0.2545820854084436, 0.15448891562084818, -0.018885681665567464, -0.05610733466536933, -0.19763112852219925, 0.2723347816702931, -0.2445507520853087, -0.09378028800711036, -0.009580831974744797, 0.19977116229575734, 0.0025690766484584918, -0.3112784706619243, 0.048450076281158036, 0.12392344596514175, 0.08443444794000582, 0.0077355587963274745, -0.009234365487341271, -0.11567535202105551, 0.015623710811311422, -0.016888228347958174, 0.04067250226386065, 0.033079086195103566, -0.07431450160761732, 0.004931969005008077, 0.3600479554125043, -0.13721718851390274, -0.24043702737016734, 0.1659969202740941, -0.2387236896685736, -0.08960514727893264, 0.055924130993527034, -0.12564656936541893, 0.18420810516663763, -0.07995376790072335, 0.34416120228233077, -0.23684513905670407, 0.22185796490588852, 0.07395028810255057, 0.012875278220446996, 0.1938342500564664, 0.11011451814150394, 0.13075485623097804, 0.05394019771280677, 0.04490527967640827, 0.14534235773215526, -0.38102007553327916, -0.17617903441883798, -0.20502935276301795, 0.145686607851192, -0.001268108969968527, -0.17101759996351806, 0.35047178854082905, 0.11939125932579817, 0.12122492383364154, 0.03593386053432559, 0.278483382058005, 0.01875979056971711, 0.0026594303916533325, 0.15448380832365433, 0.11953460503109666, 0.15721641969325584, -0.07405423489940721, -0.09048206052677922, 0.014604266917029785, 0.14035318685738846] |
711.0948 | Reflectionless measures with a point mass and singular continuous
component | We construct mesures supported on a compact subset E of the real line having
zero principal value of their Cauchy integral a.e. on E with respect to
Lebesgue measure and having singular components. E is sufficiently regular
(Widom property is satisfied) but not homogeneous as for homogeneous spectrum
such construction is impossible. This impossibility played an important role in
characterizing almost periodic Jacobi matrices with homogeneous spectrum
(Sodin-Yuditskii).
| math-ph math.CV math.MP | we construct mesures supported on a compact subset e of the real line having zero principal value of their cauchy integral ae on e with respect to lebesgue measure and having singular components e is sufficiently regular widom property is satisfied but not homogeneous as for homogeneous spectrum such construction is impossible this impossibility played an important role in characterizing almost periodic jacobi matrices with homogeneous spectrum sodinyuditskii | [['we', 'construct', 'mesures', 'supported', 'on', 'a', 'compact', 'subset', 'e', 'of', 'the', 'real', 'line', 'having', 'zero', 'principal', 'value', 'of', 'their', 'cauchy', 'integral', 'ae', 'on', 'e', 'with', 'respect', 'to', 'lebesgue', 'measure', 'and', 'having', 'singular', 'components', 'e', 'is', 'sufficiently', 'regular', 'widom', 'property', 'is', 'satisfied', 'but', 'not', 'homogeneous', 'as', 'for', 'homogeneous', 'spectrum', 'such', 'construction', 'is', 'impossible', 'this', 'impossibility', 'played', 'an', 'important', 'role', 'in', 'characterizing', 'almost', 'periodic', 'jacobi', 'matrices', 'with', 'homogeneous', 'spectrum', 'sodinyuditskii']] | [-0.20107879557797467, 0.08505139575422885, -0.07765924970290679, 0.031497500881360954, -0.09944937421995051, -0.15556205441380905, -0.042427853376412875, 0.3824827141840668, -0.24349682767848102, -0.15290844555933933, 0.12990313284749658, -0.29955515070982713, -0.10438844697166454, 0.19615352259236662, -0.05871151671881842, 0.06268676507341511, 0.04701090485597139, 0.07899672123055686, -0.025873129735426867, -0.21500857681145563, 0.4145129796884516, 0.054874061675304, 0.23511181130786152, -0.004821389078107827, 0.06525029522805091, 0.028218777268193662, -0.06623447272474603, 0.012850695125320378, -0.13193669442690031, 0.10269316732335616, 0.2607427095884786, 0.0945096560753882, 0.2210721209207002, -0.32357426132212447, -0.14412167345418472, 0.2616624293355819, 0.1100304648759501, -0.07828466198407114, 0.005653723345055957, -0.2556773450033849, 0.1349990055827862, -0.09772487704107977, -0.26109893351574154, -0.09477350104648127, 0.11396148010595318, 0.01081556999227306, -0.27600750959177006, 0.05910299222587662, 0.11908459585324369, 0.10243637467433206, -0.11271451970028198, -0.1103900505695492, -0.02602918930899571, 0.08457302513895282, -0.006876019154921831, 0.03828162875930395, 0.0787615063634482, -0.01876101750702433, -0.04834457728772096, 0.3538690572912695, -0.09433118408710203, -0.2421644890906892, 0.17737383248202285, -0.15811945592149107, -0.13505127760307753, 0.13178583939203664, 0.07850810318418286, 0.12459030659759746, -0.05383449587423135, 0.19162023005414727, -0.08561931869831717, 0.10283880889662267, 0.12919169731492944, 0.017599258612950936, 0.19348360207582385, 0.06844940662438817, 0.15694525421103583, 0.07620610806214459, -0.0025240108987097352, -0.0851238193538259, -0.3380655649200301, -0.15098872649704229, -0.22750172512742745, 0.1957393630841312, -0.08226085018673877, -0.28860426820157203, 0.31109340820351944, 0.023479496608214342, 0.20971344125128405, 0.046589512460152895, 0.18995521549710676, 0.13982840018134618, -0.0006818039555047803, 0.08255413582082838, 0.14458220871507793, 0.1927529549027574, 0.07496803298400824, -0.1451518169590546, 0.04281710915486602, 0.08825267918462701] |
711.0949 | Formation of Subgap States in Carbon Nanotubes Due to a Local Transverse
Electric Field | We introduce two simple models to study the effect of a spatially localized
transverse electric field on the low-energy electronic structure of
semiconducting carbon nanotubes. Starting from the Dirac Hamiltonian for the
low energy states of a carbon nanotube, we use scattering theory to show that
an arbitrarily weak field leads to the formation of localized electronic states
inside the free nanotube band gap. We study the binding energy of these subgap
states as a function of the range and strength of the electrostatic potential.
When the range of the potential is held constant and the strength is varied,
the binding energy shows crossover behavior: the states lie close to the free
nanotube band edge until the potential exceeds a threshold value, after which
the binding energy increases rapidly. When the potential strength is held
constant and the range is varied, we find resonant behavior: the binding energy
passes through a maximum as the range of the potential is increased. Large
electric fields confined to a small region of the nanotube are required to
create localized states far from the band edge.
| cond-mat.mtrl-sci cond-mat.mes-hall | we introduce two simple models to study the effect of a spatially localized transverse electric field on the lowenergy electronic structure of semiconducting carbon nanotubes starting from the dirac hamiltonian for the low energy states of a carbon nanotube we use scattering theory to show that an arbitrarily weak field leads to the formation of localized electronic states inside the free nanotube band gap we study the binding energy of these subgap states as a function of the range and strength of the electrostatic potential when the range of the potential is held constant and the strength is varied the binding energy shows crossover behavior the states lie close to the free nanotube band edge until the potential exceeds a threshold value after which the binding energy increases rapidly when the potential strength is held constant and the range is varied we find resonant behavior the binding energy passes through a maximum as the range of the potential is increased large electric fields confined to a small region of the nanotube are required to create localized states far from the band edge | [['we', 'introduce', 'two', 'simple', 'models', 'to', 'study', 'the', 'effect', 'of', 'a', 'spatially', 'localized', 'transverse', 'electric', 'field', 'on', 'the', 'lowenergy', 'electronic', 'structure', 'of', 'semiconducting', 'carbon', 'nanotubes', 'starting', 'from', 'the', 'dirac', 'hamiltonian', 'for', 'the', 'low', 'energy', 'states', 'of', 'a', 'carbon', 'nanotube', 'we', 'use', 'scattering', 'theory', 'to', 'show', 'that', 'an', 'arbitrarily', 'weak', 'field', 'leads', 'to', 'the', 'formation', 'of', 'localized', 'electronic', 'states', 'inside', 'the', 'free', 'nanotube', 'band', 'gap', 'we', 'study', 'the', 'binding', 'energy', 'of', 'these', 'subgap', 'states', 'as', 'a', 'function', 'of', 'the', 'range', 'and', 'strength', 'of', 'the', 'electrostatic', 'potential', 'when', 'the', 'range', 'of', 'the', 'potential', 'is', 'held', 'constant', 'and', 'the', 'strength', 'is', 'varied', 'the', 'binding', 'energy', 'shows', 'crossover', 'behavior', 'the', 'states', 'lie', 'close', 'to', 'the', 'free', 'nanotube', 'band', 'edge', 'until', 'the', 'potential', 'exceeds', 'a', 'threshold', 'value', 'after', 'which', 'the', 'binding', 'energy', 'increases', 'rapidly', 'when', 'the', 'potential', 'strength', 'is', 'held', 'constant', 'and', 'the', 'range', 'is', 'varied', 'we', 'find', 'resonant', 'behavior', 'the', 'binding', 'energy', 'passes', 'through', 'a', 'maximum', 'as', 'the', 'range', 'of', 'the', 'potential', 'is', 'increased', 'large', 'electric', 'fields', 'confined', 'to', 'a', 'small', 'region', 'of', 'the', 'nanotube', 'are', 'required', 'to', 'create', 'localized', 'states', 'far', 'from', 'the', 'band', 'edge']] | [-0.1653577272273641, 0.20338033588360394, -0.013119334899973903, 0.038203952821856874, -0.006633414299698076, -0.12065689045690246, 0.09664233910318996, 0.39043138240678954, -0.28586275545511763, -0.33171504895090237, -0.010175891438688427, -0.29516856005967973, -0.09796734590973746, 0.14608242103553654, 0.0557731636628767, 0.005835325352253986, 0.05583717032965109, 0.05357645157530167, -0.041729783155740455, -0.14072608253099844, 0.3194700803142041, 0.08381485947469187, 0.310449052448538, 0.17966034300727668, 0.03605037898587698, 0.01991178200882092, 0.13655044757031867, 0.023568899534478948, -0.14717725154856293, 0.10480812647614045, 0.205661951145545, -0.04236240034851317, 0.27060143900958433, -0.4316597061620636, -0.20792895862269778, 0.06213306224710503, 0.12849630500704234, 0.16406436299375554, -0.03590885904722509, -0.2565370702983013, 0.05892503476039005, -0.1585926448396704, -0.16816614737739316, -0.026200693574027864, 0.040457134026327876, 0.03754755395341788, -0.23227991373246218, 0.07730514400863794, -0.017561040784790087, 0.030960738504430853, -0.12021239278684524, -0.10886076860037724, -0.08910792245488655, 0.12126870805578009, 0.06000772741710215, 0.03623626712750602, 0.23260341250276254, -0.1530348692165437, -0.03449541802395258, 0.3550869236210269, -0.09035101328889461, -0.1051571088239223, 0.18406086561594998, -0.1411430163534133, -0.025562152213571786, 0.16870565263677265, 0.12670223798172978, 0.10128958346731551, -0.09863996943909864, 0.10626471406255035, 0.01930370531812474, 0.17148917869557267, 0.05621754313860047, 0.054869653240030444, 0.2584960305510641, 0.1635835714213509, 0.08643894504428237, 0.14739877856585995, -0.14502572321530002, -0.08414514846511308, -0.27481186204426156, -0.1317204520935295, -0.22081739972934003, 0.07581454265292141, -0.045712730401866575, -0.2270907420833892, 0.4544198101355725, 0.08708037637368582, 0.19735434815891414, 0.0071448251780296505, 0.2067165492245784, 0.16135903346162944, 0.0854040291058002, 0.039954217607513644, 0.29831705378511775, 0.16127057027731828, 0.09114081304070058, -0.2526370547507163, -0.016594738945119328, -0.023639009297047587] |
711.095 | The effects of topological charge change in heavy ion collisions: "Event
by event P and CP violation" | Quantum chromodynamics (QCD) contains field configurations which can be
characterized by a topological invariant, the winding number Q_w.
Configurations with nonzero Q_w break the charge-parity CP symmetry of QCD. We
consider a novel mechanism by which these configurations can separate charge in
the presence of a background magnetic field - the "Chiral Magnetic Effect". We
argue that sufficiently large magnetic fields are created in heavy ion
collisions so that the Chiral Magnetic Effect causes preferential emission of
charged particles along the direction of angular momentum. Since separation of
charge is CP-odd, any observation of the Chiral Magnetic Effect could provide a
clear demonstration of the topological nature of the QCD vacuum. We give an
estimate of the effect and conclude that it might be observed experimentally.
| hep-ph nucl-ex nucl-th | quantum chromodynamics qcd contains field configurations which can be characterized by a topological invariant the winding number q_w configurations with nonzero q_w break the chargeparity cp symmetry of qcd we consider a novel mechanism by which these configurations can separate charge in the presence of a background magnetic field the chiral magnetic effect we argue that sufficiently large magnetic fields are created in heavy ion collisions so that the chiral magnetic effect causes preferential emission of charged particles along the direction of angular momentum since separation of charge is cpodd any observation of the chiral magnetic effect could provide a clear demonstration of the topological nature of the qcd vacuum we give an estimate of the effect and conclude that it might be observed experimentally | [['quantum', 'chromodynamics', 'qcd', 'contains', 'field', 'configurations', 'which', 'can', 'be', 'characterized', 'by', 'a', 'topological', 'invariant', 'the', 'winding', 'number', 'q_w', 'configurations', 'with', 'nonzero', 'q_w', 'break', 'the', 'chargeparity', 'cp', 'symmetry', 'of', 'qcd', 'we', 'consider', 'a', 'novel', 'mechanism', 'by', 'which', 'these', 'configurations', 'can', 'separate', 'charge', 'in', 'the', 'presence', 'of', 'a', 'background', 'magnetic', 'field', 'the', 'chiral', 'magnetic', 'effect', 'we', 'argue', 'that', 'sufficiently', 'large', 'magnetic', 'fields', 'are', 'created', 'in', 'heavy', 'ion', 'collisions', 'so', 'that', 'the', 'chiral', 'magnetic', 'effect', 'causes', 'preferential', 'emission', 'of', 'charged', 'particles', 'along', 'the', 'direction', 'of', 'angular', 'momentum', 'since', 'separation', 'of', 'charge', 'is', 'cpodd', 'any', 'observation', 'of', 'the', 'chiral', 'magnetic', 'effect', 'could', 'provide', 'a', 'clear', 'demonstration', 'of', 'the', 'topological', 'nature', 'of', 'the', 'qcd', 'vacuum', 'we', 'give', 'an', 'estimate', 'of', 'the', 'effect', 'and', 'conclude', 'that', 'it', 'might', 'be', 'observed', 'experimentally']] | [-0.21989443228952588, 0.3156486807005713, -0.09580791014619172, 0.06177728880476206, -0.07801341223716736, -0.09395080585032702, -0.008350563075393438, 0.3429044637084007, -0.22152944548591041, -0.3117800405174494, -0.003842524340376258, -0.236671102989465, -0.07208861816534773, 0.08687870553135872, 0.04437597681581974, -0.004124249309301376, -0.008747951848432422, 0.02396301275328733, -0.05375393016822636, -0.16848005100898444, 0.31042318065743896, 0.007075866258703172, 0.2694843396767974, 0.1467638613563031, 0.0670760186817497, -0.008524838473647833, 0.035093315202742816, 0.06542891851067544, -0.09125291084399215, 0.01796179281012155, 0.16468763143569232, -0.0028032448748126627, 0.14758853051811457, -0.42772737322747706, -0.19841629168018698, 0.12008021451532841, 0.14443339968938382, 0.19152185474149883, -0.1291516852984205, -0.2996837822347879, 0.1034674610812217, -0.15588364535942673, -0.1791541324555874, -0.12252926718257368, -0.0009072365649044514, -0.04457118276506662, -0.3051252738982439, 0.06802500374335796, 0.043410464104264974, 0.07171263364935294, -0.022910211976617575, -0.09802377305179834, -0.07405706120654941, 0.044131665179505945, 0.11683319352567195, 0.0703415467971936, 0.17841593324486166, -0.15956542116287165, -0.17856070598959922, 0.3934151753820479, -0.022128185163252056, -0.1642431687898934, 0.10739419170282781, -0.19123726925253867, -0.13558287741988898, 0.16665466766059397, 0.1477492087483406, 0.11285229250043631, -0.11408999053016305, 0.08609925539745018, -0.05374521791934967, 0.15466639059470616, 0.049155967127531765, 0.0978031093366444, 0.34568496945500377, 0.10228317806124687, 0.03728672794252634, 0.14983286322292405, -0.1301824631342024, -0.06747199867665768, -0.33720873564481735, -0.13373129990929739, -0.18917088908702134, 0.09912433969601989, -0.07634635948378127, -0.1712002857103944, 0.38122134750336406, 0.16417810774967073, 0.20545344158262013, -0.09572620802745223, 0.28497059930115937, 0.10275984571687877, 0.08628233606368303, 0.03565648663416505, 0.3014915180169046, 0.17452687456086277, 0.12174432387202978, -0.3068041050694883, 0.01589494638517499, 0.0585548955053091] |
711.0951 | Left-invariant Stochastic Evolution Equations on SE(2) and its
Applications to Contour Enhancement and Contour Completion via Invertible
Orientation Scores | We provide the explicit solutions of linear, left-invariant,
(convection)-diffusion equations and the corresponding resolvent equations on
the 2D-Euclidean motion group SE(2). These diffusion equations are forward
Kolmogorov equations for stochastic processes for contour enhancement and
completion. The solutions are group-convolutions with the corresponding Green's
function, which we derive in explicit form. We mainly focus on the Kolmogorov
equations for contour enhancement processes which, in contrast to the
Kolmogorov equations for contour completion, do not include convection. The
Green's functions of these left-invariant partial differential equations
coincide with the heat-kernels on SE(2), which we explicitly derive. Then we
compute completion distributions on SE(2) which are the product of a forward
and a backward resolvent evolved from resp. source and sink distribution on
SE(2). On the one hand, the modes of Mumford's direction process for contour
completion coincide with elastica curves minimizing $\int \kappa^{2} + \epsilon
ds$, related to zero-crossings of 2 left-invariant derivatives of the
completion distribution. On the other hand, the completion measure for the
contour enhancement concentrates on geodesics minimizing $\int \sqrt{\kappa^{2}
+ \epsilon} ds$. This motivates a comparison between geodesics and elastica,
which are quite similar. However, we derive more practical analytic solutions
for the geodesics. The theory is motivated by medical image analysis
applications where enhancement of elongated structures in noisy images is
required. We use left-invariant (non)-linear evolution processes for automated
contour enhancement on invertible orientation scores, obtained from an image by
means of a special type of unitary wavelet transform.
| math.AP math.GR | we provide the explicit solutions of linear leftinvariant convectiondiffusion equations and the corresponding resolvent equations on the 2deuclidean motion group se2 these diffusion equations are forward kolmogorov equations for stochastic processes for contour enhancement and completion the solutions are groupconvolutions with the corresponding greens function which we derive in explicit form we mainly focus on the kolmogorov equations for contour enhancement processes which in contrast to the kolmogorov equations for contour completion do not include convection the greens functions of these leftinvariant partial differential equations coincide with the heatkernels on se2 which we explicitly derive then we compute completion distributions on se2 which are the product of a forward and a backward resolvent evolved from resp source and sink distribution on se2 on the one hand the modes of mumfords direction process for contour completion coincide with elastica curves minimizing int kappa2 epsilon ds related to zerocrossings of 2 leftinvariant derivatives of the completion distribution on the other hand the completion measure for the contour enhancement concentrates on geodesics minimizing int sqrtkappa2 epsilon ds this motivates a comparison between geodesics and elastica which are quite similar however we derive more practical analytic solutions for the geodesics the theory is motivated by medical image analysis applications where enhancement of elongated structures in noisy images is required we use leftinvariant nonlinear evolution processes for automated contour enhancement on invertible orientation scores obtained from an image by means of a special type of unitary wavelet transform | [['we', 'provide', 'the', 'explicit', 'solutions', 'of', 'linear', 'leftinvariant', 'convectiondiffusion', 'equations', 'and', 'the', 'corresponding', 'resolvent', 'equations', 'on', 'the', '2deuclidean', 'motion', 'group', 'se2', 'these', 'diffusion', 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711.0952 | On the Luttinger theorem concerning number of particles in the ground
states of systems of interacting fermions | We analyze the original proof by Luttinger and Ward of the Luttinger theorem,
according to which for uniform ground states of systems of (interacting)
fermions, which may be metallic or insulating, the number of k points
corresponding to non-negative values of G_s(k;mu) is equal to the total number
of particles with spin index s in these ground states. Here G_s(k;mu) is the
single-particle Green function of particles with spin index s at the chemical
potential mu. For the cases where the two-body interaction potential is
short-range, and in particular for lattice models, we explicitly demonstrate
that this theorem is unconditionally valid, irrespective of the strength of the
bare interaction potential. We arrive at this conclusion by amongst other
things demonstrating that the perturbation series expansion for self-energy in
terms of skeleton diagrams, as encountered in the proof of the Luttinger-Ward
identity, is uniformly convergent for almost all momenta and energies. We
further investigate the mechanisms underlying some reported instances of
failure of the Luttinger theorem. With one exception, for all the cases
considered in this paper, we show that the apparent failures of the Luttinger
theorem can be attributed either to shortcomings of the employed
single-particle Green functions or to misapplication of this theorem. The one
exceptional case brings to light the possibility of a genuine failure of the
Luttinger theorem for insulating ground states, which we show to be brought
about by a false limit that in principle can be reached on taking the
zero-temperature limit without the value of mu coinciding with the
zero-temperature limit of the chemical potential satisfying the equation of
state at finite temperatures; no such ambiguity can arise for metallic states.
| cond-mat.str-el cond-mat.mtrl-sci cond-mat.supr-con math-ph math.MP | we analyze the original proof by luttinger and ward of the luttinger theorem according to which for uniform ground states of systems of interacting fermions which may be metallic or insulating the number of k points corresponding to nonnegative values of g_skmu is equal to the total number of particles with spin index s in these ground states here g_skmu is the singleparticle green function of particles with spin index s at the chemical potential mu for the cases where the twobody interaction potential is shortrange and in particular for lattice models we explicitly demonstrate that this theorem is unconditionally valid irrespective of the strength of the bare interaction potential we arrive at this conclusion by amongst other things demonstrating that the perturbation series expansion for selfenergy in terms of skeleton diagrams as encountered in the proof of the luttingerward identity is uniformly convergent for almost all momenta and energies we further investigate the mechanisms underlying some reported instances of failure of the luttinger theorem with one exception for all the cases considered in this paper we show that the apparent failures of the luttinger theorem can be attributed either to shortcomings of the employed singleparticle green functions or to misapplication of this theorem the one exceptional case brings to light the possibility of a genuine failure of the luttinger theorem for insulating ground states which we show to be brought about by a false limit that in principle can be reached on taking the zerotemperature limit without the value of mu coinciding with the zerotemperature limit of the chemical potential satisfying the equation of state at finite temperatures no such ambiguity can arise for metallic states | [['we', 'analyze', 'the', 'original', 'proof', 'by', 'luttinger', 'and', 'ward', 'of', 'the', 'luttinger', 'theorem', 'according', 'to', 'which', 'for', 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711.0953 | Isolated vibrational wavepackets in D2+: Defining superposition
conditions and wavepacket distinguishability | Tunnel ionization of room-temperature D$_2$ in an ultrashort (12 femtosecond)
near infra-red (800 nm) pump laser pulse excites a vibrational wavepacket in
the D2+ ions; a rotational wavepacket is also excited in residual D2 molecules.
Both wavepacket types are collapsed a variable time later by an ultrashort
probe pulse. We isolate the vibrational wavepacket and quantify its evolution
dynamics through theoretical comparison. Requirements for quantum computation
(initial coherence and quantum state retrieval) are studied using this
well-defined (small number of initial states at room temperature, initial
wavepacket spatially localized) single-electron molecular prototype by
temporally stretching the pump and probe pulses.
| physics.chem-ph physics.atom-ph | tunnel ionization of roomtemperature d_2 in an ultrashort 12 femtosecond near infrared 800 nm pump laser pulse excites a vibrational wavepacket in the d2 ions a rotational wavepacket is also excited in residual d2 molecules both wavepacket types are collapsed a variable time later by an ultrashort probe pulse we isolate the vibrational wavepacket and quantify its evolution dynamics through theoretical comparison requirements for quantum computation initial coherence and quantum state retrieval are studied using this welldefined small number of initial states at room temperature initial wavepacket spatially localized singleelectron molecular prototype by temporally stretching the pump and probe pulses | [['tunnel', 'ionization', 'of', 'roomtemperature', 'd_2', 'in', 'an', 'ultrashort', '12', 'femtosecond', 'near', 'infrared', '800', 'nm', 'pump', 'laser', 'pulse', 'excites', 'a', 'vibrational', 'wavepacket', 'in', 'the', 'd2', 'ions', 'a', 'rotational', 'wavepacket', 'is', 'also', 'excited', 'in', 'residual', 'd2', 'molecules', 'both', 'wavepacket', 'types', 'are', 'collapsed', 'a', 'variable', 'time', 'later', 'by', 'an', 'ultrashort', 'probe', 'pulse', 'we', 'isolate', 'the', 'vibrational', 'wavepacket', 'and', 'quantify', 'its', 'evolution', 'dynamics', 'through', 'theoretical', 'comparison', 'requirements', 'for', 'quantum', 'computation', 'initial', 'coherence', 'and', 'quantum', 'state', 'retrieval', 'are', 'studied', 'using', 'this', 'welldefined', 'small', 'number', 'of', 'initial', 'states', 'at', 'room', 'temperature', 'initial', 'wavepacket', 'spatially', 'localized', 'singleelectron', 'molecular', 'prototype', 'by', 'temporally', 'stretching', 'the', 'pump', 'and', 'probe', 'pulses']] | [-0.13849928528885358, 0.28586372187623055, -0.09121926526306197, 0.035679166780319065, 0.07315407423651778, -0.2009279146976769, 0.02914126538671553, 0.5108670909889043, -0.24579738575033844, -0.24605145917739718, -0.008653254233067856, -0.25914199189748616, 0.03580994640477002, 0.16204333778237923, 0.058464575009711556, 0.06938070353062357, 0.056302226532716305, -0.07477543836459517, 0.02252660121768713, -0.12060775822028517, 0.22055497276596725, 0.06561797301052139, 0.2775386140239425, 0.042573503572493794, 0.09827116325031966, -0.029357238562661224, 0.08182914208853617, -0.14050995984114706, -0.1499166310345754, 0.020791659794631413, 0.22961463141953573, 0.005184775679372251, 0.2787351875321474, -0.4986160394293256, -0.2572954383993056, -0.030644548302516342, 0.1892901612468995, 0.24300145390443503, -0.04992231340147555, -0.3394401456284686, -0.06585860663908534, -0.08009111193008721, -0.163191874101758, -0.0898285707156174, 0.07743384516332298, 0.05682799169793725, -0.2114147656131536, 0.06478706541500287, -0.01382606160128489, 0.10418408525176347, -0.05635681806248613, -0.0036130171129480004, -0.06461787826148793, 0.02785460739163682, -0.06952381903072818, 0.053542905505746606, 0.24313365091336891, -0.0980307724699378, -0.06961027564015239, 0.3372556144371629, -0.12831322266254575, -0.06991192367859185, 0.12307201928459108, -0.19001428234390916, -0.026594913490116598, 0.25924907258711755, 0.08215247850399464, 0.19343496637418867, -0.12078297353058588, 0.005864193318993785, 0.039420451978221534, 0.2756367860012688, 0.2116197398956865, 0.1694802419655025, 0.20362322738394142, 0.16137787010520696, 0.02289434490259737, 0.17836876753717662, -0.17518122464418412, -0.09302833377849311, -0.26292415846139194, -0.09421685107052326, -0.23580575884785504, 0.11440596401691437, -0.06580538727299427, -0.10296049028635025, 0.4439830570667982, 0.07740388641133905, 0.09042275901418179, -0.07502366092114243, 0.30135757128708063, 0.12398025368805975, -0.050846332998480646, 0.0216610900266096, 0.22754888970404863, 0.19653889434412122, 0.11192866275669075, -0.35618228499311955, -0.0007819787785410881, -0.049350586076034236] |
711.0954 | Effects of Neutron Emission on Fragment Mass and Kinetic Energy
Distribution from Thermal Neutron-Induced Fission of $^{235}U$ | The mass and kinetic energy distribution of nuclear fragments from thermal
neutron-induced fission of 235U have been studied using a Monte-Carlo
simulation. Besides reproducing the pronounced broadening in the standard
deviation of the kinetic energy at the final fragment mass number around m =
109, our simulation also produces a second broadening around m = 125. These
results are in good agreement with the experimental data obtained by Belhafaf
et al. and other results on yield of mass. We conclude that the obtained
results are a consequence of the characteristics of the neutron emission, the
sharp variation in the primary fragment kinetic energy and mass yield curves.
We show that because neutron emission is hazardous to make any conclusion on
primary quantities distribution of fragments from experimental results on final
quantities distributions.
| physics.comp-ph nucl-ex | the mass and kinetic energy distribution of nuclear fragments from thermal neutroninduced fission of 235u have been studied using a montecarlo simulation besides reproducing the pronounced broadening in the standard deviation of the kinetic energy at the final fragment mass number around m 109 our simulation also produces a second broadening around m 125 these results are in good agreement with the experimental data obtained by belhafaf et al and other results on yield of mass we conclude that the obtained results are a consequence of the characteristics of the neutron emission the sharp variation in the primary fragment kinetic energy and mass yield curves we show that because neutron emission is hazardous to make any conclusion on primary quantities distribution of fragments from experimental results on final quantities distributions | [['the', 'mass', 'and', 'kinetic', 'energy', 'distribution', 'of', 'nuclear', 'fragments', 'from', 'thermal', 'neutroninduced', 'fission', 'of', '235u', 'have', 'been', 'studied', 'using', 'a', 'montecarlo', 'simulation', 'besides', 'reproducing', 'the', 'pronounced', 'broadening', 'in', 'the', 'standard', 'deviation', 'of', 'the', 'kinetic', 'energy', 'at', 'the', 'final', 'fragment', 'mass', 'number', 'around', 'm', '109', 'our', 'simulation', 'also', 'produces', 'a', 'second', 'broadening', 'around', 'm', '125', 'these', 'results', 'are', 'in', 'good', 'agreement', 'with', 'the', 'experimental', 'data', 'obtained', 'by', 'belhafaf', 'et', 'al', 'and', 'other', 'results', 'on', 'yield', 'of', 'mass', 'we', 'conclude', 'that', 'the', 'obtained', 'results', 'are', 'a', 'consequence', 'of', 'the', 'characteristics', 'of', 'the', 'neutron', 'emission', 'the', 'sharp', 'variation', 'in', 'the', 'primary', 'fragment', 'kinetic', 'energy', 'and', 'mass', 'yield', 'curves', 'we', 'show', 'that', 'because', 'neutron', 'emission', 'is', 'hazardous', 'to', 'make', 'any', 'conclusion', 'on', 'primary', 'quantities', 'distribution', 'of', 'fragments', 'from', 'experimental', 'results', 'on', 'final', 'quantities', 'distributions']] | [-0.037361638311995196, 0.14647086181033117, -0.10752982890519958, 0.11037789060322281, 0.007228888836331092, -0.01358380031843598, 0.012485029261845809, 0.36481051918549035, -0.18301289776035656, -0.38256243927977407, 0.003746834928348947, -0.3293169307307555, 0.0011575206505277983, 0.2558765835307825, -0.02018592675897078, 0.05069098505907907, 0.1308716584247752, 0.0332575218895307, -0.06589767076254177, -0.16973924189626885, 0.3216158118698961, 0.13253406521219474, 0.2277412445248606, 0.08823626524983691, 0.04692718157132801, -0.023860432195047347, -0.025934726988466886, -0.0013800833016060865, -0.17415756804637986, 0.06363901229342446, 0.18360494384721207, 0.09868509236078422, 0.16728591271676124, -0.3749783055570263, -0.21424653249291273, 0.08396018221974373, 0.09093598719113148, 0.08659745650365949, -0.12216156520433008, -0.23773399909528403, 0.06844684463352538, -0.1960053746516888, -0.12050681611737953, -0.04713608698489574, 0.010252487663036356, 0.08636890312370199, -0.2629301894026307, 0.14098342942732137, 0.01881868635268452, 0.021788768337752958, -0.11549053464729625, -0.21900952861536868, -0.09827691276307003, 0.05269602771060398, 0.07517847150671654, 0.00980781368427695, 0.18170494083024097, -0.08821783191703547, -0.06774148129356596, 0.35235040681257557, -0.06107105502070716, -0.11189067130191968, 0.16469140293685577, -0.1942040632514713, -0.1617583637483991, 0.2270164216725299, 0.11796451683532304, 0.1072361558317565, -0.14151649583274356, 0.01823323719570628, -0.04394404070111565, 0.19237242810822164, 0.07703688368201256, 0.03428242178225236, 0.21847633263096214, 0.16356204528486928, -0.044372406055649315, 0.0935248534351838, -0.14725257693431698, -0.11345160312529724, -0.302393733122601, -0.11466832287931958, -0.17294010540040639, 0.043248316273093224, -0.0660230215671338, -0.08887807185976551, 0.34678360343230175, 0.13253065099259123, 0.24290693003970842, 0.07047640373930335, 0.29234573411253784, 0.09622378057459942, 0.06383604461040635, 0.06112867430783808, 0.2890487150692094, 0.1655910960631445, 0.10436132092816898, -0.2588177487704133, 0.07330501121468842, -0.00870242599541178] |
711.0955 | Gauge Symmetry and Supersymmetry of Multiple M2-Branes | In previous work we proposed a field theory model for multiple M2-branes
based on an algebra with a totally antisymmetric triple product. In this paper
we gauge a symmetry that arises from the algebra's triple product. We then
construct a supersymmetric theory that is consistent with all the symmetries
expected of a multiple M2-brane theory: 16 supersymmetries, conformal
invariance, and an SO(8) R-symmetry that acts on the eight transverse scalars.
The gauge field is not dynamical. The result is a new type of maximally
supersymmetric gauge theory in three dimensions.
| hep-th | in previous work we proposed a field theory model for multiple m2branes based on an algebra with a totally antisymmetric triple product in this paper we gauge a symmetry that arises from the algebras triple product we then construct a supersymmetric theory that is consistent with all the symmetries expected of a multiple m2brane theory 16 supersymmetries conformal invariance and an so8 rsymmetry that acts on the eight transverse scalars the gauge field is not dynamical the result is a new type of maximally supersymmetric gauge theory in three dimensions | [['in', 'previous', 'work', 'we', 'proposed', 'a', 'field', 'theory', 'model', 'for', 'multiple', 'm2branes', 'based', 'on', 'an', 'algebra', 'with', 'a', 'totally', 'antisymmetric', 'triple', 'product', 'in', 'this', 'paper', 'we', 'gauge', 'a', 'symmetry', 'that', 'arises', 'from', 'the', 'algebras', 'triple', 'product', 'we', 'then', 'construct', 'a', 'supersymmetric', 'theory', 'that', 'is', 'consistent', 'with', 'all', 'the', 'symmetries', 'expected', 'of', 'a', 'multiple', 'm2brane', 'theory', '16', 'supersymmetries', 'conformal', 'invariance', 'and', 'an', 'so8', 'rsymmetry', 'that', 'acts', 'on', 'the', 'eight', 'transverse', 'scalars', 'the', 'gauge', 'field', 'is', 'not', 'dynamical', 'the', 'result', 'is', 'a', 'new', 'type', 'of', 'maximally', 'supersymmetric', 'gauge', 'theory', 'in', 'three', 'dimensions']] | [-0.17710086668117178, 0.1890546958094799, -0.07679938595328066, 0.04048238089954895, -0.09449851770057446, -0.1419246669923369, -0.04255145288771019, 0.33357520947853725, -0.1726283137117409, -0.2213388056287335, 0.07698848568446313, -0.258987560785479, -0.22184462663200166, 0.08719233041370494, -0.08243161311580074, -0.007804399992649754, -0.005264125019311905, 0.0934218561069833, -0.11377820845227689, -0.2725921786493725, 0.3716735790690614, -0.03445651110313419, 0.2769846951795949, 0.004911541095417407, 0.12432549407240004, 0.04458490128421949, 0.018639978093819485, -0.010537088662385941, -0.0858382799959347, 0.12914186928472998, 0.19310400891117752, 0.06927965065050457, 0.11973556195282274, -0.40275751896616485, -0.17585404052709538, 0.08991928391882943, 0.16023861398506495, 0.1387227824682163, -0.052762626059767274, -0.2758785752165649, 0.04740276623310314, -0.23407864958668748, -0.16044562441271004, -0.05127804951949252, -0.02741509824215124, -0.16615949362102483, -0.29579632329858013, 0.04324011948063142, 0.027185215390636584, 0.09272079245290822, -0.08603008522962531, -0.03221353113961716, -0.1105943713337183, 0.041534057031903, 0.10795164180841918, 0.07047427363383273, 0.11188465592373784, -0.15214334755049397, -0.22886299232745336, 0.3613925739087992, -0.07933020244430129, -0.27145603597164153, 0.16658098781740086, -0.10470659697635307, -0.2673112690578111, 0.09774086543151903, 0.09935186120371024, 0.16516616390500632, -0.14276963782807192, 0.23629846309971375, -0.13122513842148084, 0.1445266005479627, 0.054843650106340645, 0.013316732463944289, 0.24358710281343923, 0.08959590839739474, 0.07040254569922884, 0.10981034697550866, 0.001331687563409408, -0.12192025010784467, -0.4405401231009617, -0.1613513124951472, -0.10932814021620693, 0.15417545307702515, -0.13573243503132187, -0.16442228867154982, 0.4105386282420821, 0.12316216275584237, 0.1640505291469809, 0.06678283120402032, 0.1937167910238107, 0.09862917619239953, 0.13600993787662852, 0.015696314096243846, 0.20712597227344912, 0.19572397084492776, 0.026495646254625173, -0.1758996496662601, -0.20416873374746905, 0.17869195581620767] |
711.0956 | Supersymmetry Breaking by Type II Seesaw Assisted Anomaly Mediation | Anomaly mediated supersymmetry breaking (AMSB), when implemented in MSSM is
known to suffer from the problem of negative slepton mass squared leading to
breakdown of electric charge conservation. We show however that when MSSM is
extended to explain small neutrino masses by including a pair of superheavy
Higgs triplet superfields (the type II seesaw mechanism), the slepton masses
can be deflected from the pure AMSB trajectory and become positive. In a simple
model we present in this paper, the seesaw scale is about $10^{13}-10^{14}{\rm
GeV}$. Gauge coupling unification can be maintained by embedding the triplet to
SU(5) {\bf 15}-multiplet. In this scenario, bino is the LSP and its mass is
nearly degenerate with NLSP slepton when the triplet mass is right around the
seesaw scale.
| hep-ph | anomaly mediated supersymmetry breaking amsb when implemented in mssm is known to suffer from the problem of negative slepton mass squared leading to breakdown of electric charge conservation we show however that when mssm is extended to explain small neutrino masses by including a pair of superheavy higgs triplet superfields the type ii seesaw mechanism the slepton masses can be deflected from the pure amsb trajectory and become positive in a simple model we present in this paper the seesaw scale is about 10131014rm gev gauge coupling unification can be maintained by embedding the triplet to su5 bf 15multiplet in this scenario bino is the lsp and its mass is nearly degenerate with nlsp slepton when the triplet mass is right around the seesaw scale | [['anomaly', 'mediated', 'supersymmetry', 'breaking', 'amsb', 'when', 'implemented', 'in', 'mssm', 'is', 'known', 'to', 'suffer', 'from', 'the', 'problem', 'of', 'negative', 'slepton', 'mass', 'squared', 'leading', 'to', 'breakdown', 'of', 'electric', 'charge', 'conservation', 'we', 'show', 'however', 'that', 'when', 'mssm', 'is', 'extended', 'to', 'explain', 'small', 'neutrino', 'masses', 'by', 'including', 'a', 'pair', 'of', 'superheavy', 'higgs', 'triplet', 'superfields', 'the', 'type', 'ii', 'seesaw', 'mechanism', 'the', 'slepton', 'masses', 'can', 'be', 'deflected', 'from', 'the', 'pure', 'amsb', 'trajectory', 'and', 'become', 'positive', 'in', 'a', 'simple', 'model', 'we', 'present', 'in', 'this', 'paper', 'the', 'seesaw', 'scale', 'is', 'about', '10131014rm', 'gev', 'gauge', 'coupling', 'unification', 'can', 'be', 'maintained', 'by', 'embedding', 'the', 'triplet', 'to', 'su5', 'bf', '15multiplet', 'in', 'this', 'scenario', 'bino', 'is', 'the', 'lsp', 'and', 'its', 'mass', 'is', 'nearly', 'degenerate', 'with', 'nlsp', 'slepton', 'when', 'the', 'triplet', 'mass', 'is', 'right', 'around', 'the', 'seesaw', 'scale']] | [-0.09685588763902835, 0.29398606007453054, 0.04726726365427772, 0.22688068743539794, -0.12013778602141106, -0.2436133865792785, -0.0041830689738309315, 0.3615841651485572, -0.24578594815571822, -0.31292235583908135, 0.04550146810229747, -0.2193859705641385, -0.0005793262258051864, 0.06641169846425915, -0.043235006324398605, -0.013863458065785497, 0.012130008473421537, -0.005137009471054038, -0.057329721907726415, -0.23363369348507765, 0.31592398054987914, 0.014550105060240435, 0.16945757410646747, 0.11778903301191965, 0.06304689325512416, -0.08836349310173143, 0.06590044956594225, -0.13542032072455773, -0.02081349654262369, 0.0547474725068652, 0.18369907840725877, 0.07167104234723674, 0.1292250009456409, -0.32348118274052057, -0.1450790249350135, 0.21134539097340987, 0.20776557841811388, 0.11466722148508134, -0.10885452962435421, -0.321697648501985, 0.1267755728199958, -0.24500566251921438, -0.09203999722845882, -0.01906052458610746, -0.07491419111348448, -0.2036700346929607, -0.37615048949937185, 0.16284569919920497, -0.058086580660704885, -0.028052447506436897, 0.008957385238552946, -0.136172262876625, -0.12676523638994344, -0.05279725915287629, 0.26443553271594517, -0.04621898445334556, 0.16555050968928564, -0.19602493352572165, -0.1401792329082626, 0.4551805411014826, -0.1001881674784536, -0.15307657862450147, 0.11225528729471168, -0.10730856500430813, -0.11094508161993637, 0.13362666037339235, 0.16768285928429255, 0.12981020394034848, -0.17056724135827314, 0.23607883562104806, -0.08751526970093348, 0.1818304087125486, 0.07435737291516195, 0.010902771902751298, 0.31806239082417903, 0.22639636872824462, 0.09443481306305095, 0.006519256953916122, -0.07355189865695373, -0.08975472705694096, -0.41667510725317464, -0.09325902229231302, -0.08808701574209056, 0.07363210190211952, -0.05227118623870117, -0.0685824254798072, 0.41246776886644865, 0.16000144469041017, 0.26992095436810726, 0.04553654931125141, 0.27338676801657363, 0.09485542085472375, 0.1567272111705895, 0.023067696726948562, 0.32817318573811904, 0.1068340951554297, 0.10399651640815841, -0.27993277992467364, -0.0642924148818448, 0.11114492360126949] |
711.0957 | Zero dimensional area law in a gapless fermion system | The entanglement entropy of a gapless fermion subsystem coupled to a gapless
bulk by a "weak link" is considered. It is demonstrated numerically that each
independent weak link contributes an entropy proportional to lnL, where L is
linear dimension of the subsystem.
| cond-mat.str-el | the entanglement entropy of a gapless fermion subsystem coupled to a gapless bulk by a weak link is considered it is demonstrated numerically that each independent weak link contributes an entropy proportional to lnl where l is linear dimension of the subsystem | [['the', 'entanglement', 'entropy', 'of', 'a', 'gapless', 'fermion', 'subsystem', 'coupled', 'to', 'a', 'gapless', 'bulk', 'by', 'a', 'weak', 'link', 'is', 'considered', 'it', 'is', 'demonstrated', 'numerically', 'that', 'each', 'independent', 'weak', 'link', 'contributes', 'an', 'entropy', 'proportional', 'to', 'lnl', 'where', 'l', 'is', 'linear', 'dimension', 'of', 'the', 'subsystem']] | [-0.23319262780603908, 0.23375968625415616, -0.03768861936848788, 0.06004993865610145, -0.03852669431251429, -0.2859944551850536, 0.013194971828765813, 0.2384703775113892, -0.2771690216004139, -0.14400686980003402, 0.038620554154650086, -0.33150378339702175, -0.08271852471045263, 0.12041036806823242, -0.01631159410767612, 0.08491623947130782, -0.009359136129552055, 0.10767827741801739, -0.05914281795932246, -0.24877529050267877, 0.32023086013006313, 0.05693594758797969, 0.3266481928793447, 0.06942797701672784, 0.12336053583948385, 0.002429504269024446, 0.021765636989758128, 0.06351993778454405, -0.151359469702757, 0.04939351414906837, 0.25484699773646535, -0.0027087598339546404, 0.23431493758800484, -0.3307301566625635, -0.19308438549549983, 0.06814158956209819, 0.11164541378439892, 0.06248125407312598, 0.03201043304233324, -0.22581427380265223, 0.06782753918586033, -0.21701678478469452, -0.14159440483143998, -0.039483006666636185, 0.056171782226079985, -0.11089048051230964, -0.27976677517983173, 0.11472446817372527, 0.052491056954576856, 0.024580076558604128, 0.02184852895637353, -0.004906458846692528, -0.12186380542282547, 0.08357296448056808, 0.06767324580522698, 0.0736277694425856, 0.1019717689403998, -0.08275119996895748, -0.0993101737195892, 0.30963430262082037, -0.1096604391710744, -0.25639690719323144, 0.23773606273434347, -0.07350000660378664, -0.07934025987162299, 0.15393563393237336, 0.05174123047895375, 0.07220341792951028, -0.16275880654298125, 0.1442803357550431, -0.0937706935884697, 0.24156578133503595, -0.04057400757890372, 0.08420209870451972, 0.22995973750948906, 0.12892575114910004, 0.13912719395011663, 0.23867569185261214, -0.044244350089381136, -0.10652911574358032, -0.33043717548605944, -0.2471054896845349, -0.30489869442369255, 0.06676144906807513, -0.07175758159497664, -0.1518466041334683, 0.3833678712447484, 0.05835742104266371, 0.15453467768661322, 0.006456211564086732, 0.26583455459192573, 0.1976772156056194, 0.08116428106136266, 0.09635085487250417, 0.25686810857483316, 0.2116678212603022, 0.047519863050963194, -0.33634598858632325, 0.0021504946108463975, 0.11529482628351875] |
711.0958 | Perturbations In A Non-Uniform Dark Energy Fluid: Equations Reveal
Effects of Modified Gravity and Dark Matter | We propose a unified single-field description of the galactic Dark Matter and
various uniform scalar fields for the inflation and cosmological constant. The
two types of effects could originate from a fluid of both spatially and
temporally varying Vacuum Energy if the vacuum has an uneven pressure caused by
a photon-like vector field (of perhaps an unstable massive boson). We propose a
most general Lagrangian with a {\bf N}on-{\bf u}niform Cosmological Constant
for this vacuum fluid (dubbed as a Nu-Lambda fluid), working within the
framework of Einsteinian gravity. This theory includes a continuous spectrum of
plausible dark energy theories and gravity theories, e.g., inflation,
quintessence, k-essence, f(R), Generalized Einstein-Aether f(K), MOND, TeVeS,
BSTV etc. theories. It also suggests new models such as a certain f(K+R) model,
which suggests intriguing corrections to MOND depending of redshift and
density. Some specific constructions of the Nu-Lambda fluid (e.g., Zhao's
V-$\Lambda$ model) closely resemble the $\Lambda$CDM cosmology on large scale,
but fit galaxy rotation curves as good as MOND. Perturbed Einstein Equations in
a simple $f(K_4)$ model are solvable and show effects of a DM coupled to DE.
Incorporating the perturbation equations here into standard simulations for
cosmological structure growth offers a chance to falsify examples of the
Nu-Lambda theories.
| astro-ph gr-qc hep-ph hep-th | we propose a unified singlefield description of the galactic dark matter and various uniform scalar fields for the inflation and cosmological constant the two types of effects could originate from a fluid of both spatially and temporally varying vacuum energy if the vacuum has an uneven pressure caused by a photonlike vector field of perhaps an unstable massive boson we propose a most general lagrangian with a bf nonbf uniform cosmological constant for this vacuum fluid dubbed as a nulambda fluid working within the framework of einsteinian gravity this theory includes a continuous spectrum of plausible dark energy theories and gravity theories eg inflation quintessence kessence fr generalized einsteinaether fk mond teves bstv etc theories it also suggests new models such as a certain fkr model which suggests intriguing corrections to mond depending of redshift and density some specific constructions of the nulambda fluid eg zhaos vlambda model closely resemble the lambdacdm cosmology on large scale but fit galaxy rotation curves as good as mond perturbed einstein equations in a simple fk_4 model are solvable and show effects of a dm coupled to de incorporating the perturbation equations here into standard simulations for cosmological structure growth offers a chance to falsify examples of the nulambda theories | [['we', 'propose', 'a', 'unified', 'singlefield', 'description', 'of', 'the', 'galactic', 'dark', 'matter', 'and', 'various', 'uniform', 'scalar', 'fields', 'for', 'the', 'inflation', 'and', 'cosmological', 'constant', 'the', 'two', 'types', 'of', 'effects', 'could', 'originate', 'from', 'a', 'fluid', 'of', 'both', 'spatially', 'and', 'temporally', 'varying', 'vacuum', 'energy', 'if', 'the', 'vacuum', 'has', 'an', 'uneven', 'pressure', 'caused', 'by', 'a', 'photonlike', 'vector', 'field', 'of', 'perhaps', 'an', 'unstable', 'massive', 'boson', 'we', 'propose', 'a', 'most', 'general', 'lagrangian', 'with', 'a', 'bf', 'nonbf', 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711.0959 | Boltzmann limit and quasifreeness for a homogenous Fermi gas in a weakly
disordered random medium | We discuss some basic aspects of the dynamics of a homogenous Fermi gas in a
weak random potential, under negligence of the particle pair interactions. We
derive the kinetic scaling limit for the momentum distribution function with a
translation invariant initial state and prove that it is determined by a linear
Boltzmann equation. Moreover, we prove that if the initial state is quasifree,
then the time evolved state, averaged over the randomness, has a quasifree
kinetic limit. We show that the momentum distributions determined by the Gibbs
states of a free fermion field are stationary solutions of the linear Boltzmann
equation; this includes the limit of zero temperature.
| math-ph math.MP | we discuss some basic aspects of the dynamics of a homogenous fermi gas in a weak random potential under negligence of the particle pair interactions we derive the kinetic scaling limit for the momentum distribution function with a translation invariant initial state and prove that it is determined by a linear boltzmann equation moreover we prove that if the initial state is quasifree then the time evolved state averaged over the randomness has a quasifree kinetic limit we show that the momentum distributions determined by the gibbs states of a free fermion field are stationary solutions of the linear boltzmann equation this includes the limit of zero temperature | [['we', 'discuss', 'some', 'basic', 'aspects', 'of', 'the', 'dynamics', 'of', 'a', 'homogenous', 'fermi', 'gas', 'in', 'a', 'weak', 'random', 'potential', 'under', 'negligence', 'of', 'the', 'particle', 'pair', 'interactions', 'we', 'derive', 'the', 'kinetic', 'scaling', 'limit', 'for', 'the', 'momentum', 'distribution', 'function', 'with', 'a', 'translation', 'invariant', 'initial', 'state', 'and', 'prove', 'that', 'it', 'is', 'determined', 'by', 'a', 'linear', 'boltzmann', 'equation', 'moreover', 'we', 'prove', 'that', 'if', 'the', 'initial', 'state', 'is', 'quasifree', 'then', 'the', 'time', 'evolved', 'state', 'averaged', 'over', 'the', 'randomness', 'has', 'a', 'quasifree', 'kinetic', 'limit', 'we', 'show', 'that', 'the', 'momentum', 'distributions', 'determined', 'by', 'the', 'gibbs', 'states', 'of', 'a', 'free', 'fermion', 'field', 'are', 'stationary', 'solutions', 'of', 'the', 'linear', 'boltzmann', 'equation', 'this', 'includes', 'the', 'limit', 'of', 'zero', 'temperature']] | [-0.15501130421924042, 0.21656816432907902, -0.1510272028244799, 0.09360894898526129, 0.002989329507626179, -0.1007578510325402, 0.04030590097385424, 0.30809116842984047, -0.30903328730750623, -0.2050109422524218, 0.03463237317110826, -0.26603653363849, -0.04268654087489402, 0.1442849407893071, 0.040842261790573875, 0.09211371106923455, 0.08748783031047357, 0.07604921087450175, -0.0936408838627998, -0.22369730019838446, 0.391776037523178, 0.016808337169802852, 0.2867522804773654, 0.04517153391983205, 0.19123603717458468, 0.028352390500475413, 0.03907167441664367, 0.013552165736823722, -0.16600238687796162, 0.033652885706504564, 0.16547527756968824, 0.050593671815780304, 0.2596885448847725, -0.3740309707958389, -0.24174101918901283, 0.1002810545852063, 0.10867629310167912, 0.13291212457449916, -0.04095308796968311, -0.24923412576835188, 0.052853521964236816, -0.18156386951536493, -0.19429140148201474, -0.08574110291967238, 0.03180776329180743, 0.0794575657842129, -0.24893334367381478, 0.11790312935287754, 0.0880209090063107, 0.0170586500575559, -0.11381046244598648, -0.10278771055594983, -0.05357127102022922, 0.07118812464263842, 0.040717692291191605, 0.017601858423505392, 0.1253705902232064, -0.1640883076621254, -0.05959970720060584, 0.3569225901134174, -0.12818453730411689, -0.2596668160139988, 0.15783024778486127, -0.1697035502056005, -0.10265450759066476, 0.12192306888324243, 0.1048008505615009, 0.09993192917857043, -0.18062659948891788, 0.162645196834799, -0.08845073636621237, 0.14984753464038172, 0.03507879576042156, 0.01735789620714193, 0.17255373564721257, 0.13060919995661135, 0.06635315911585672, 0.16100793504544222, -0.08126719645224512, -0.15713985742897624, -0.32839063049673484, -0.16955904427191448, -0.21498130176957972, 0.13620571253381464, -0.05734629653967137, -0.17130594171100744, 0.38473861292004585, 0.12361270677582878, 0.19757357643727488, 0.08178764760183792, 0.22961617513188953, 0.2045456796142928, -0.010144257728286364, 0.12885041923814075, 0.21647099626096422, 0.16115860968043474, 0.08366571548200834, -0.24979838154157968, 0.038353344266026934, 0.0802067693805805] |
711.096 | Late-time Kerr tails revisited | The decay rate of late time tails in the Kerr spacetime have been the cause
of numerous conflicting results, both analytical and numerical. In particular,
there is much disagreement on whether the decay rate of an initially pure
multipole moment ${\ell}$ is according to $t^{-(2{\bar\ell}+3)}$, where
${\bar\ell}$ is the least multipole moment whose excitation is not disallowed,
or whether the decay rate is according to $t^{-n}$, where $n=n({\ell})$. We do
careful 2+1D numerical simulations, and explain the various results. In
particular, we show that pure multipole outgoing initial data in either
Boyer--Lindquist on ingoing Kerr coordinates on the corresponding slices lead
to the same late time tail behavior. We also show that similar initial data
specified in terms of the Poisson spherical coordinates lead to the simpler
$t^{-(2{\bar\ell}+3)}$ late time tail. We generalize the rule $n=n({\ell})$ to
subdominant modes, and also study the behavior of non--axisymmetric initial
data. We discuss some of the causes for possible errors in 2+1D simulations,
demonstrate that our simulations are free of those errors, and argue that some
conflicting past results may be attributed to them.
| gr-qc | the decay rate of late time tails in the kerr spacetime have been the cause of numerous conflicting results both analytical and numerical in particular there is much disagreement on whether the decay rate of an initially pure multipole moment ell is according to t2barell3 where barell is the least multipole moment whose excitation is not disallowed or whether the decay rate is according to tn where nnell we do careful 21d numerical simulations and explain the various results in particular we show that pure multipole outgoing initial data in either boyerlindquist on ingoing kerr coordinates on the corresponding slices lead to the same late time tail behavior we also show that similar initial data specified in terms of the poisson spherical coordinates lead to the simpler t2barell3 late time tail we generalize the rule nnell to subdominant modes and also study the behavior of nonaxisymmetric initial data we discuss some of the causes for possible errors in 21d simulations demonstrate that our simulations are free of those errors and argue that some conflicting past results may be attributed to them | [['the', 'decay', 'rate', 'of', 'late', 'time', 'tails', 'in', 'the', 'kerr', 'spacetime', 'have', 'been', 'the', 'cause', 'of', 'numerous', 'conflicting', 'results', 'both', 'analytical', 'and', 'numerical', 'in', 'particular', 'there', 'is', 'much', 'disagreement', 'on', 'whether', 'the', 'decay', 'rate', 'of', 'an', 'initially', 'pure', 'multipole', 'moment', 'ell', 'is', 'according', 'to', 't2barell3', 'where', 'barell', 'is', 'the', 'least', 'multipole', 'moment', 'whose', 'excitation', 'is', 'not', 'disallowed', 'or', 'whether', 'the', 'decay', 'rate', 'is', 'according', 'to', 'tn', 'where', 'nnell', 'we', 'do', 'careful', '21d', 'numerical', 'simulations', 'and', 'explain', 'the', 'various', 'results', 'in', 'particular', 'we', 'show', 'that', 'pure', 'multipole', 'outgoing', 'initial', 'data', 'in', 'either', 'boyerlindquist', 'on', 'ingoing', 'kerr', 'coordinates', 'on', 'the', 'corresponding', 'slices', 'lead', 'to', 'the', 'same', 'late', 'time', 'tail', 'behavior', 'we', 'also', 'show', 'that', 'similar', 'initial', 'data', 'specified', 'in', 'terms', 'of', 'the', 'poisson', 'spherical', 'coordinates', 'lead', 'to', 'the', 'simpler', 't2barell3', 'late', 'time', 'tail', 'we', 'generalize', 'the', 'rule', 'nnell', 'to', 'subdominant', 'modes', 'and', 'also', 'study', 'the', 'behavior', 'of', 'nonaxisymmetric', 'initial', 'data', 'we', 'discuss', 'some', 'of', 'the', 'causes', 'for', 'possible', 'errors', 'in', '21d', 'simulations', 'demonstrate', 'that', 'our', 'simulations', 'are', 'free', 'of', 'those', 'errors', 'and', 'argue', 'that', 'some', 'conflicting', 'past', 'results', 'may', 'be', 'attributed', 'to', 'them']] | [-0.12233362887470915, 0.134449352268419, -0.10734203654112472, 0.09350229420909897, -0.07720981607234428, -0.09955776751811445, -0.00231306299088554, 0.3695853253691223, -0.22371408884939034, -0.2590046894981125, 0.10147302053535784, -0.28592953141570593, -0.0875772893397585, 0.1752009493339151, -0.030479168756435724, 0.03552005313045486, 0.05101747291881914, 0.060077926923141046, -0.07398192018209358, -0.26059302248990074, 0.31663236491233837, 0.08446073095189334, 0.25614489335436685, 0.021106476995016984, 0.02125155917881317, -0.053317323529978373, -0.03386238123701271, 0.014473509893400786, -0.15552788259095365, 0.004361233910722606, 0.204104362687814, 0.11119402058854408, 0.20939090444872874, -0.4680733907572384, -0.17408174557309578, 0.12567666201077027, 0.17745302792237916, 0.13624547654762864, -0.04778044286584638, -0.2462892505846262, 0.09772745524298962, -0.15937561186956628, -0.14179309628976708, -0.09456766395200064, 0.04791314261132987, 0.03008668774650458, -0.27169829198060425, 0.1261683112825267, 0.08902333013182662, -0.005874737054005515, -0.07653152471142899, -0.11123313290696571, -0.016489418012131652, 0.09551397540708015, 0.14993806963646003, 0.008878462847748864, 0.08640074869747892, -0.08634429980217682, -0.11832332035380952, 0.36402999884162784, -0.04983199936176479, -0.19595805854489767, 0.20149555847090383, -0.22161997615895623, -0.10977980992223485, 0.1446622106358513, 0.16406768271387373, 0.1240092891596216, -0.11050733931196136, 0.05675849458332793, -0.010661347946100061, 0.1610705160468234, 0.10915066430074626, 0.0262828108844186, 0.20508506823416967, 0.07875832076855628, 0.00920185869996691, 0.11348108284230027, -0.07738690507515625, -0.10457814775190093, -0.3249035213928274, -0.11619964387142957, -0.1665708018420004, 0.05686156547443964, -0.10698596804042466, -0.1359302776751197, 0.3681098944559568, 0.15962023902801517, 0.22224352807430914, 0.04066262238102252, 0.2634128501779249, 0.11054382511536856, 0.025065165528163895, 0.09664454804889483, 0.2676030259085793, 0.0732322553531709, 0.06815976819398101, -0.26029475467466856, 0.06045761723435541, 0.00770848294636807] |
711.0961 | Perturbative QCD Calculations of Elliptic Flow and Shear Viscosity in
Au+Au Collisions at $\sqrt{s_{NN}}=200$ GeV | The elliptic flow $v_2$ and the ratio of the shear viscosity over the entropy
density, $\eta/s$, of gluon matter are calculated from the perturbative QCD
(pQCD) based parton cascade Boltzmann approach of multiparton scatterings. For
Au+Au collisions at $\sqrt{s}=200$A GeV the gluon plasma generates large $v_2$
values measured at the BNL Relativistic Heavy Ion Collider. Standard pQCD
yields $\eta/s\approx 0.08-0.15$ as small as the lower bound found from the
anti-de Sitter/conformal field theory conjecture.
| nucl-th hep-ph | the elliptic flow v_2 and the ratio of the shear viscosity over the entropy density etas of gluon matter are calculated from the perturbative qcd pqcd based parton cascade boltzmann approach of multiparton scatterings for auau collisions at sqrts200a gev the gluon plasma generates large v_2 values measured at the bnl relativistic heavy ion collider standard pqcd yields etasapprox 008015 as small as the lower bound found from the antide sitterconformal field theory conjecture | [['the', 'elliptic', 'flow', 'v_2', 'and', 'the', 'ratio', 'of', 'the', 'shear', 'viscosity', 'over', 'the', 'entropy', 'density', 'etas', 'of', 'gluon', 'matter', 'are', 'calculated', 'from', 'the', 'perturbative', 'qcd', 'pqcd', 'based', 'parton', 'cascade', 'boltzmann', 'approach', 'of', 'multiparton', 'scatterings', 'for', 'auau', 'collisions', 'at', 'sqrts200a', 'gev', 'the', 'gluon', 'plasma', 'generates', 'large', 'v_2', 'values', 'measured', 'at', 'the', 'bnl', 'relativistic', 'heavy', 'ion', 'collider', 'standard', 'pqcd', 'yields', 'etasapprox', '008015', 'as', 'small', 'as', 'the', 'lower', 'bound', 'found', 'from', 'the', 'antide', 'sitterconformal', 'field', 'theory', 'conjecture']] | [-0.06026208388925313, 0.3340284463324367, -0.24011349605319843, 0.1383352653978214, 0.030842500521916234, -0.09309292286124131, -0.1296515543642135, 0.24734925975136407, -0.20119639983630344, -0.22161285377630632, -0.12417541450680528, -0.3601144123535399, 0.16051073020885456, 0.15322720945800003, 0.10956370226133054, 0.17370794320416044, 0.12753732988055896, 0.010821740895713845, -0.03454063828932504, -0.1980038066649784, 0.2995486692397868, 0.11442648304294642, 0.2797712968687897, 0.24506885953222032, 0.07036639146557817, 0.05309425020424573, -0.010876377999833594, 0.013507723782772887, -0.18459095210470866, 0.039453321165638044, 0.29748328205529756, -0.025537964527507964, 0.11609610971318532, -0.35269375052940966, -0.16289621484721054, 0.04435026472153729, 0.1262094785669844, 0.10191389080137014, -0.026334914506400284, -0.20605759251199357, 0.08820945571801841, -0.31546615194274136, -0.12382364627739338, -0.06673868765977964, -0.0524120043424175, -0.04097617987849533, -0.3711479694569764, 0.2252004585118824, -0.09172084612440165, 0.026194277538420404, 0.01118578627220776, -0.2561889912307977, -0.11227658764803655, -0.08639717495630253, 0.19606286804638293, 0.1532796693468237, 0.22329104168672267, -0.21749551288228583, -0.15689748237292245, 0.4164325606894411, -0.02400628597258705, -0.07919610783215357, 0.12662131104886226, -0.23564588978937637, -0.10616913219046308, 0.18581339151100956, 0.25517385961385824, 0.12836660827471785, -0.12832165697002657, 0.12749581674212743, -0.06896598147362318, 0.1449161830945965, 0.1512950992989928, 0.03471817793834903, 0.20161184226481677, 0.1464040882435742, -0.05199254558051694, 0.0511326554683053, -0.06741447670206632, -0.10250882904542839, -0.44195741565566354, -0.02191015906163096, -0.1370989069811464, 0.07939366286952201, -0.21781014281062708, -0.1263837202209724, 0.27316251690563276, 0.10361658958463024, 0.23273193866033617, 0.04364869938780592, 0.33002822007346033, 0.1531987603186081, 0.011401794804977763, 0.17031196814587768, 0.3149960889642076, 0.23386620667648234, 0.22158630694141485, -0.30588752946701564, -0.006782969953261048, 0.2171019911287633] |
711.0962 | Photometric Redshift Error Estimators | Photometric redshift (photo-z) estimates are playing an increasingly
important role in extragalactic astronomy and cosmology. Crucial to many
photo-z applications is the accurate quantification of photometric redshift
errors and their distributions, including identification of likely catastrophic
failures in photo-z estimates. We consider several methods of estimating
photo-z errors and propose new training-set based error estimators based on
spectroscopic training set data. Using data from the Sloan Digital Sky Survey
and simulations of the Dark Energy Survey as examples, we show that this method
provides a robust, relatively unbiased estimate of photo-z errors. We show that
culling objects with large, accurately estimated photo-z errors from a sample
can reduce the incidence of catastrophic photo-z failures.
| astro-ph | photometric redshift photoz estimates are playing an increasingly important role in extragalactic astronomy and cosmology crucial to many photoz applications is the accurate quantification of photometric redshift errors and their distributions including identification of likely catastrophic failures in photoz estimates we consider several methods of estimating photoz errors and propose new trainingset based error estimators based on spectroscopic training set data using data from the sloan digital sky survey and simulations of the dark energy survey as examples we show that this method provides a robust relatively unbiased estimate of photoz errors we show that culling objects with large accurately estimated photoz errors from a sample can reduce the incidence of catastrophic photoz failures | [['photometric', 'redshift', 'photoz', 'estimates', 'are', 'playing', 'an', 'increasingly', 'important', 'role', 'in', 'extragalactic', 'astronomy', 'and', 'cosmology', 'crucial', 'to', 'many', 'photoz', 'applications', 'is', 'the', 'accurate', 'quantification', 'of', 'photometric', 'redshift', 'errors', 'and', 'their', 'distributions', 'including', 'identification', 'of', 'likely', 'catastrophic', 'failures', 'in', 'photoz', 'estimates', 'we', 'consider', 'several', 'methods', 'of', 'estimating', 'photoz', 'errors', 'and', 'propose', 'new', 'trainingset', 'based', 'error', 'estimators', 'based', 'on', 'spectroscopic', 'training', 'set', 'data', 'using', 'data', 'from', 'the', 'sloan', 'digital', 'sky', 'survey', 'and', 'simulations', 'of', 'the', 'dark', 'energy', 'survey', 'as', 'examples', 'we', 'show', 'that', 'this', 'method', 'provides', 'a', 'robust', 'relatively', 'unbiased', 'estimate', 'of', 'photoz', 'errors', 'we', 'show', 'that', 'culling', 'objects', 'with', 'large', 'accurately', 'estimated', 'photoz', 'errors', 'from', 'a', 'sample', 'can', 'reduce', 'the', 'incidence', 'of', 'catastrophic', 'photoz', 'failures']] | [-0.045900549853972177, -0.0007164434073115045, -0.06891858320797614, 0.16705879511050226, -0.09865877404808998, -0.07183190417606711, 0.07335733417258189, 0.4310442453675103, -0.1687935223157534, -0.3771699752756639, 0.12923611328618503, -0.3071207731570068, -0.06760495689364657, 0.28816707087517307, -0.1551253944798781, 0.10470839686642744, 0.16577915233772314, -0.15156715082233413, -0.06436741417820215, -0.34360806511923375, 0.2886638794453782, 0.10701660436921213, 0.2654969488360445, -0.09848775120917708, 0.09495733755338415, 0.012915849693838442, -0.1892027733275634, 0.00012434157134409536, -0.1891732252732158, 0.08574251534842085, 0.3149262922427927, 0.18501310690567552, 0.3445730444448265, -0.2875281084354292, -0.20195776114665104, 0.16048892606213166, 0.19884634803441403, 0.1833338089483349, -0.08671043655250973, -0.32253479167590277, 0.062122610661103146, -0.19780433467148165, -0.07991143246998259, -0.060475632858773075, -0.029135442487977184, 0.0979944171236926, -0.26393073655536253, 0.18242466078433944, -0.0222757969076108, 0.1299535679133617, -0.05929811739999997, -0.1731386644308243, -0.012276645694663258, 0.1458106848356118, -0.002712624576943518, 0.0590638817214456, 0.14584464504252792, -0.1637315099401269, -0.04748698263102325, 0.4059562802053334, 0.0037941896058455633, -0.08305337177712079, 0.10142148771780755, -0.09773117619190823, -0.18523289380480715, 0.09188327564359561, 0.29438095023087635, 0.04720407924941627, -0.19075879101690493, -0.01169323487199124, 0.10289526470168903, 0.2202064743665815, -0.0374022460983772, 0.07105591583572198, 0.20332225637608453, 0.1273538480235035, 0.09466452675967543, 0.06785021818716798, -0.2614241997249784, 0.032568404259029446, -0.28062018493942004, -0.03180433417710766, -0.1718136072117966, 0.05574810371750541, -0.1865425813251804, -0.2116269645477204, 0.36089404308841677, 0.2747946999815963, 0.17731875336010075, 0.11806012247280594, 0.3754320762267238, 0.006557309685153437, 0.07579016403842456, 0.0445326690341493, 0.2544995734933764, 0.08685874816626638, -0.020911518692676174, -0.14053549223759196, 0.10310625841661372, -0.017224054577302906] |
711.0963 | Density functional theory for self-bound systems | The density functional theory is extended to account for self-bound systems.
To this end the Hohenberg-Kohn theorem is formulated for the intrinsic density
and a Kohn-Sham like procedure for an $N$--body system is derived using the
adiabatic approximation to account for the center of mass motion.
| nucl-th | the density functional theory is extended to account for selfbound systems to this end the hohenbergkohn theorem is formulated for the intrinsic density and a kohnsham like procedure for an nbody system is derived using the adiabatic approximation to account for the center of mass motion | [['the', 'density', 'functional', 'theory', 'is', 'extended', 'to', 'account', 'for', 'selfbound', 'systems', 'to', 'this', 'end', 'the', 'hohenbergkohn', 'theorem', 'is', 'formulated', 'for', 'the', 'intrinsic', 'density', 'and', 'a', 'kohnsham', 'like', 'procedure', 'for', 'an', 'nbody', 'system', 'is', 'derived', 'using', 'the', 'adiabatic', 'approximation', 'to', 'account', 'for', 'the', 'center', 'of', 'mass', 'motion']] | [-0.10334847323879924, 0.035154467198362516, -0.18576610298908275, 0.1445309093637068, 0.01021207184733256, -0.059558524642615455, 0.030921047561012372, 0.30541984797657834, -0.25389517305175896, -0.33858020105601655, 0.051792760389735515, -0.21148930838250596, -0.08125391645033074, 0.14820659217303214, -0.022425213039083326, 0.0797271353557058, 0.022241835305264787, 0.027849548956905695, -0.09206710114022312, -0.16755445315705045, 0.3121307498228777, 0.06405647860273071, 0.23343537399626296, 0.05755744792480508, 0.09740037102576184, 0.08819866166753776, 0.02860499552005659, 0.043261314266482775, -0.12312268073994505, 0.14123948341559456, 0.22741713730679097, 0.07258678596142841, 0.2888641535587933, -0.43687900621443987, -0.24859159526860583, 0.04234272403561551, 0.11077485581778962, 0.16035865048837403, -0.03769063749148146, -0.30214524246833246, 0.08751220284434764, -0.21974469405477462, -0.22570261209393325, -0.08545614197931212, 0.06795704828413285, 0.0025850339772422676, -0.2728807300724008, 0.15454754374577137, 0.034465200065270714, -0.04303982116929863, -0.16145742166301477, -0.08974697334317329, 0.0007005648525512737, 0.08681972033303717, -0.01149868859362829, 0.022595641689132088, 0.16528504719684387, -0.09746879990637788, -0.013327110963671104, 0.42631264273887093, -0.058025355810178036, -0.18271088883604691, 0.15643526603083086, -0.057551477985132646, -0.15847581496421734, 0.11742227170211465, 0.13458730697469867, 0.0757547814105435, -0.1985787038853311, 0.1430436523173146, 0.0010273089612145786, 0.17519814733658795, 0.013797946436249691, -0.009250678041059038, 0.2176640459700771, 0.14697244925343472, 0.08564364626679731, 0.06943463096800058, -0.09786777752046676, -0.15754879308540537, -0.2861117324386926, -0.16329538500007323, -0.22119734567873503, 0.03768888990516248, -0.04370766324364408, -0.175021528509324, 0.32171463549299084, 0.1370407174969011, 0.12981877913293632, 0.07790680354683781, 0.30757659298124845, 0.2734445697911408, 0.052662148352955344, 0.05939154299583448, 0.23402431388588055, 0.23869630666044744, 0.027583964553702135, -0.25737538479228056, -0.03276557577571467, 0.13512510056202504] |
711.0964 | Singularities of admissible normal functions | In a recent paper, M. Green and P. Griffiths used R. Thomas' works on nodal
hypersurfaces to establish the equivalence of the Hodge conjecture and the
existence of certain singular admissible normal functions. Inspired by their
work, we study normal functions using M. Saito's mixed Hodge modules and prove
that the existence of singularities of the type considered by Griffiths and
Green is equivalent to the Hodge conjecture. Several of the intermediate
results, including a relative version of the weak Lefschetz theorem for
perverse sheaves, are of independent interest.
| math.AG | in a recent paper m green and p griffiths used r thomas works on nodal hypersurfaces to establish the equivalence of the hodge conjecture and the existence of certain singular admissible normal functions inspired by their work we study normal functions using m saitos mixed hodge modules and prove that the existence of singularities of the type considered by griffiths and green is equivalent to the hodge conjecture several of the intermediate results including a relative version of the weak lefschetz theorem for perverse sheaves are of independent interest | [['in', 'a', 'recent', 'paper', 'm', 'green', 'and', 'p', 'griffiths', 'used', 'r', 'thomas', 'works', 'on', 'nodal', 'hypersurfaces', 'to', 'establish', 'the', 'equivalence', 'of', 'the', 'hodge', 'conjecture', 'and', 'the', 'existence', 'of', 'certain', 'singular', 'admissible', 'normal', 'functions', 'inspired', 'by', 'their', 'work', 'we', 'study', 'normal', 'functions', 'using', 'm', 'saitos', 'mixed', 'hodge', 'modules', 'and', 'prove', 'that', 'the', 'existence', 'of', 'singularities', 'of', 'the', 'type', 'considered', 'by', 'griffiths', 'and', 'green', 'is', 'equivalent', 'to', 'the', 'hodge', 'conjecture', 'several', 'of', 'the', 'intermediate', 'results', 'including', 'a', 'relative', 'version', 'of', 'the', 'weak', 'lefschetz', 'theorem', 'for', 'perverse', 'sheaves', 'are', 'of', 'independent', 'interest']] | [-0.20307580388433646, 0.03459678115741758, -0.14413616560357675, 0.1156387064315567, -0.07040469230707275, -0.14671395166536397, 0.017462315855369892, 0.2595133036649734, -0.27527640056220837, -0.19746335915007282, 0.12038797573212617, -0.1680374101086865, -0.1781094212587295, 0.18842898111978776, -0.16670253847757083, 0.017964879432797766, 0.04310750325597572, 0.001739363395347354, -0.07976335903702911, -0.2988548300796701, 0.48436819351790994, -0.05916030046770747, 0.2694236276608505, 0.10673431309170267, 0.07108869686136755, 0.07217932900602228, -0.061905279007394995, -0.01155180624278074, -0.16224177477639654, 0.18437410085566677, 0.29469063240522, 0.05704971482992641, 0.23679116667049488, -0.3800206638223837, -0.11376611435827746, 0.1812853468582034, 0.04308257021240137, 0.028497635972884933, 0.01437265122586631, -0.28774719887800265, 0.1379524665685852, -0.12369980662014712, -0.24134794981585125, -0.06233778030329039, 0.051253153900668195, 0.08820665110520014, -0.21005254720201652, 0.049027644840770226, 0.11375179350301898, 0.1098524063427964, -0.09038120046456795, -0.11714179526616851, -0.0879971842762878, 0.029680320176850544, 0.026485500341867297, 0.016020374061288627, 0.06323480000915634, -0.09612235312841916, -0.1354210496451078, 0.3049058281329952, -0.09409314444225826, -0.14689782667863235, 0.14384088595136163, -0.14387786713313688, -0.16519358556644384, 0.10512647922203112, 0.039060658272983655, 0.20571421564483408, -0.012699158537839905, 0.16865877335985308, -0.14284398379536828, 0.004851203976889674, 0.16173381614237187, 0.0069798208208064014, 0.11828948280334556, 0.06379569620626528, 0.046009598817843736, 0.12516322502018778, -0.042161326842340696, -0.062171537052379565, -0.3693832386326924, -0.20995544757317292, -0.16962149083938743, 0.15112612531468106, -0.08770871274840358, -0.18467935878427677, 0.39855245414995744, 0.03234821110649892, 0.19596837856545207, 0.14032533807742797, 0.20089951073855497, 0.059211227810010314, 0.02301559604317201, 0.019650947407222865, 0.17046797729693772, 0.2869507236395743, 0.04225433265706629, -0.15461483918747793, 0.010936636756320766, 0.20686805171347902] |
711.0965 | On a question of Landis and Oleinik | We answer in the affirmative a question posed by Landis and Oleinik on unique
continuation of variable coefficients parabolic equations.
| math.AP | we answer in the affirmative a question posed by landis and oleinik on unique continuation of variable coefficients parabolic equations | [['we', 'answer', 'in', 'the', 'affirmative', 'a', 'question', 'posed', 'by', 'landis', 'and', 'oleinik', 'on', 'unique', 'continuation', 'of', 'variable', 'coefficients', 'parabolic', 'equations']] | [-0.1600052922964096, -0.07947168103419244, -0.02653245525434613, 0.07665508117061108, -0.1788490247912705, -0.2107967367162928, 0.07290072618052364, 0.2707030072808266, -0.3212303891777992, -0.20949214994907378, 0.13769372463284527, -0.2921748297289014, -0.14191589895635842, 0.22413080483675002, -0.15804186486639082, 0.14485524892807006, 0.07544027006952092, -0.08148266421630979, 0.010400490509346128, -0.33021699395030735, 0.4347586869262159, -0.05337673255708068, 0.11044839434325696, 0.12134109372273087, 0.20919374767690896, 0.0018836624920368194, -0.10803772257640958, 0.01157362968660891, -0.26229415195994077, 0.09616311097051948, 0.27839539233827965, 0.06511810466181486, 0.3760664978995919, -0.32601931669050827, -0.13262091827346012, 0.018900038162246346, 0.15278001399710775, 0.011018790863454342, -0.06108140030992217, -0.31503281109035014, 0.0370684627443552, -0.047165267542004584, -0.25867439780849966, -0.06435053236200475, 0.07251321328803897, -0.039532075682654974, -0.28065034477040174, 0.10913104005157948, 0.1998025551903993, 0.07653580154292286, -0.20966612296178938, -0.02753312634304166, 0.07899628391023725, 0.05360788002144545, 0.047022615910418605, 0.06581969659309835, -0.07847710370551794, -0.11269963048398494, -0.1251174308825284, 0.3043623050209135, -0.15493900701403618, -0.2891249069944024, 0.09888235656544567, -0.1660296100890264, -0.12447065431624652, 0.05927364737726748, 0.16659923139959573, 0.17267948780208825, -0.11306468113325537, 0.21568311508453916, -0.25303792804479597, 0.10315023884177207, 0.2283332477789372, -0.11184027689741924, 0.09626593604916707, 0.05421157693490386, 0.08280084789730609, 0.07466749977320433, 0.1962517784559168, -0.011978765204548835, -0.27130054738372567, -0.2032474716193974, -0.11328430641442537, 0.24859484173357488, -0.011037910565937637, -0.1607906052377075, 0.4112467885017395, 0.1235584911890328, 0.22432898953557015, -0.0048768451437354084, 0.13195995325222612, 0.19455141969956458, -0.11354029793292283, 0.05839039924758253, 0.09522072109393775, 0.22338975997408853, 0.1323355542146601, -0.21955783274024726, 0.06109154443256557, 0.2771190999541432] |
711.0966 | Observable Properties of Double-Barred Galaxies in N-Body Simulations | Although at least one quarter of early-type barred galaxies host secondary
stellar bars embedded in their large-scale primary counterparts, the dynamics
of such double barred galaxies are still not well understood. Recently we
reported success at simulating such systems in a repeatable way in
collisionless systems. In order to further our understanding of double-barred
galaxies, here we characterize the density and kinematics of the N-body
simulations of these galaxies. This will facilitate comparison with
observations and lead to a better understanding of the observed double-barred
galaxies. We find the shape and size of our simulated secondary bars are quite
reasonable compared to the observed ones. We demonstrate that an authentic
decoupled secondary bar may produce only a weak twist of the kinematic minor
axis in the stellar velocity field, due to the relatively large random motion
of stars in the central region. We also find that the edge-on nuclear bars are
probably not related to boxy peanut-shaped bulges which are most likely to be
edge-on primary large-scale bars. Finally we demonstrate that the non-rigid
rotation of the secondary bar causes its pattern speed not to be derived with
great accuracy using the Tremaine-Weinberg method. We also compare with
observations of NGC 2950, a prototypical double-barred early-type galaxy, which
suggest that the nuclear bar may be rotating in the opposite sense as the
primary.
| astro-ph | although at least one quarter of earlytype barred galaxies host secondary stellar bars embedded in their largescale primary counterparts the dynamics of such double barred galaxies are still not well understood recently we reported success at simulating such systems in a repeatable way in collisionless systems in order to further our understanding of doublebarred galaxies here we characterize the density and kinematics of the nbody simulations of these galaxies this will facilitate comparison with observations and lead to a better understanding of the observed doublebarred galaxies we find the shape and size of our simulated secondary bars are quite reasonable compared to the observed ones we demonstrate that an authentic decoupled secondary bar may produce only a weak twist of the kinematic minor axis in the stellar velocity field due to the relatively large random motion of stars in the central region we also find that the edgeon nuclear bars are probably not related to boxy peanutshaped bulges which are most likely to be edgeon primary largescale bars finally we demonstrate that the nonrigid rotation of the secondary bar causes its pattern speed not to be derived with great accuracy using the tremaineweinberg method we also compare with observations of ngc 2950 a prototypical doublebarred earlytype galaxy which suggest that the nuclear bar may be rotating in the opposite sense as the primary | [['although', 'at', 'least', 'one', 'quarter', 'of', 'earlytype', 'barred', 'galaxies', 'host', 'secondary', 'stellar', 'bars', 'embedded', 'in', 'their', 'largescale', 'primary', 'counterparts', 'the', 'dynamics', 'of', 'such', 'double', 'barred', 'galaxies', 'are', 'still', 'not', 'well', 'understood', 'recently', 'we', 'reported', 'success', 'at', 'simulating', 'such', 'systems', 'in', 'a', 'repeatable', 'way', 'in', 'collisionless', 'systems', 'in', 'order', 'to', 'further', 'our', 'understanding', 'of', 'doublebarred', 'galaxies', 'here', 'we', 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711.0967 | Simulating the Bullet Cluster | We present high resolution N-body/SPH simulations of the interacting cluster
1E0657-56. The main and the sub-cluster are modeled using extended cuspy LCDM
dark matter halos and isothermal beta-profiles for the collisional component.
The hot gas is initially in hydrostatic equilibrium inside the global potential
of the clusters. We investigate the X-ray morphology and derive the most likely
impact parameters, mass ratios and initial relative velocities. We find that
the observed displacement between the X-ray peaks and the associated mass
distribution, the morphology of the bow shock, the surface brightness and
projected temperature profiles across the shock discontinuity can be well
reproduced by offset 1:6 encounters where the sub-cluster has initial velocity
(in the rest frame of the main cluster) close to 2 times the virial velocity of
the main cluster dark matter halo. A model with the same mass ratio and lower
velocity (1.5 times the main cluster virial velocity) matches quite well most
of the observations. However, it does not reproduce the morphology of the main
cluster peak. Dynamical friction strongly affects the kinematics of the
sub-cluster so that the low velocity bullet is actually bound to the main
system at the end of the simulation. We find that a relatively high
concentration (c=6) of the main cluster dark matter halo is necessary in order
to prevent the disruption of the associated X-ray peak. For a selected
sub-sample of runs we perform a detailed three dimensional analysis following
the past, present and future evolution of the interacting systems. In
particular, we investigate the kinematics of the gas and dark matter components
as well as the changes in the density profiles and the motion of the system in
the L_X-T diagram.
| astro-ph | we present high resolution nbodysph simulations of the interacting cluster 1e065756 the main and the subcluster are modeled using extended cuspy lcdm dark matter halos and isothermal betaprofiles for the collisional component the hot gas is initially in hydrostatic equilibrium inside the global potential of the clusters we investigate the xray morphology and derive the most likely impact parameters mass ratios and initial relative velocities we find that the observed displacement between the xray peaks and the associated mass distribution the morphology of the bow shock the surface brightness and projected temperature profiles across the shock discontinuity can be well reproduced by offset 16 encounters where the subcluster has initial velocity in the rest frame of the main cluster close to 2 times the virial velocity of the main cluster dark matter halo a model with the same mass ratio and lower velocity 15 times the main cluster virial velocity matches quite well most of the observations however it does not reproduce the morphology of the main cluster peak dynamical friction strongly affects the kinematics of the subcluster so that the low velocity bullet is actually bound to the main system at the end of the simulation we find that a relatively high concentration c6 of the main cluster dark matter halo is necessary in order to prevent the disruption of the associated xray peak for a selected subsample of runs we perform a detailed three dimensional analysis following the past present and future evolution of the interacting systems in particular we investigate the kinematics of the gas and dark matter components as well as the changes in the density profiles and the motion of the system in the l_xt diagram | [['we', 'present', 'high', 'resolution', 'nbodysph', 'simulations', 'of', 'the', 'interacting', 'cluster', '1e065756', 'the', 'main', 'and', 'the', 'subcluster', 'are', 'modeled', 'using', 'extended', 'cuspy', 'lcdm', 'dark', 'matter', 'halos', 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711.0968 | Quantum Monte Carlo study of the visibility of one-dimensional
Bose-Fermi mixtures | The study of ultracold optically trapped atoms has opened new vistas in the
physics of correlated quantum systems. Much attention has now turned to
mixtures of bosonic and fermionic atoms. A central puzzle is the disagreement
between the experimental observation of a reduced bosonic visibility ${\cal
V}_b$, and quantum Monte Carlo (QMC) calculations which show ${\cal V}_b$
increasing. In this paper, we present QMC simulations which evaluate the
density profiles and ${\cal V}_b$ of mixtures of bosons and fermions in
one-dimensional optical lattices. We resolve the discrepancy between theory and
experiment by identifying parameter regimes where ${\cal V}_b$ is reduced, and
where it is increased. We present a simple qualitative picture of the different
response to the fermion admixture in terms of the superfluid and
Mott-insulating domains before and after the fermions are included. Finally, we
show that ${\cal V}_b$ exhibits kinks which are tied to the domain evolution
present in the pure case, and also additional structure arising from the
formation of boson-fermion molecules, a prediction for future experiments.
| cond-mat.quant-gas cond-mat.other | the study of ultracold optically trapped atoms has opened new vistas in the physics of correlated quantum systems much attention has now turned to mixtures of bosonic and fermionic atoms a central puzzle is the disagreement between the experimental observation of a reduced bosonic visibility cal v_b and quantum monte carlo qmc calculations which show cal v_b increasing in this paper we present qmc simulations which evaluate the density profiles and cal v_b of mixtures of bosons and fermions in onedimensional optical lattices we resolve the discrepancy between theory and experiment by identifying parameter regimes where cal v_b is reduced and where it is increased we present a simple qualitative picture of the different response to the fermion admixture in terms of the superfluid and mottinsulating domains before and after the fermions are included finally we show that cal v_b exhibits kinks which are tied to the domain evolution present in the pure case and also additional structure arising from the formation of bosonfermion molecules a prediction for future experiments | [['the', 'study', 'of', 'ultracold', 'optically', 'trapped', 'atoms', 'has', 'opened', 'new', 'vistas', 'in', 'the', 'physics', 'of', 'correlated', 'quantum', 'systems', 'much', 'attention', 'has', 'now', 'turned', 'to', 'mixtures', 'of', 'bosonic', 'and', 'fermionic', 'atoms', 'a', 'central', 'puzzle', 'is', 'the', 'disagreement', 'between', 'the', 'experimental', 'observation', 'of', 'a', 'reduced', 'bosonic', 'visibility', 'cal', 'v_b', 'and', 'quantum', 'monte', 'carlo', 'qmc', 'calculations', 'which', 'show', 'cal', 'v_b', 'increasing', 'in', 'this', 'paper', 'we', 'present', 'qmc', 'simulations', 'which', 'evaluate', 'the', 'density', 'profiles', 'and', 'cal', 'v_b', 'of', 'mixtures', 'of', 'bosons', 'and', 'fermions', 'in', 'onedimensional', 'optical', 'lattices', 'we', 'resolve', 'the', 'discrepancy', 'between', 'theory', 'and', 'experiment', 'by', 'identifying', 'parameter', 'regimes', 'where', 'cal', 'v_b', 'is', 'reduced', 'and', 'where', 'it', 'is', 'increased', 'we', 'present', 'a', 'simple', 'qualitative', 'picture', 'of', 'the', 'different', 'response', 'to', 'the', 'fermion', 'admixture', 'in', 'terms', 'of', 'the', 'superfluid', 'and', 'mottinsulating', 'domains', 'before', 'and', 'after', 'the', 'fermions', 'are', 'included', 'finally', 'we', 'show', 'that', 'cal', 'v_b', 'exhibits', 'kinks', 'which', 'are', 'tied', 'to', 'the', 'domain', 'evolution', 'present', 'in', 'the', 'pure', 'case', 'and', 'also', 'additional', 'structure', 'arising', 'from', 'the', 'formation', 'of', 'bosonfermion', 'molecules', 'a', 'prediction', 'for', 'future', 'experiments']] | [-0.10893832414465791, 0.2371287500266643, -0.04969058115829659, 0.04865936708280488, -0.0021675368113552823, -0.15652262463836986, 0.06794438053141622, 0.3637123584966449, -0.22696693393347017, -0.26845735226319556, 0.0346468896680402, -0.3143721210742917, -0.1168894811957965, 0.13631670434603138, 0.03138809890335645, 0.05045898710651433, 0.05746525037650238, -0.020703226922299055, -0.11952164366375655, -0.22976307445616626, 0.2700221004861626, 0.031169678455711725, 0.24619861681233435, 0.09490543601123672, 0.05397609609439421, -0.03307460667565465, 0.02832336756948601, 0.012650013904032462, -0.17111470719447586, 0.10493226384689265, 0.23710172895396894, 0.016450008300050875, 0.20730550232200423, -0.443427447739112, -0.20472696510636632, 0.09716700658969143, 0.18939663658247274, 0.1403337102253264, -0.053467003327986116, -0.29884802045930614, 0.00454983238288311, -0.18439295332440558, -0.12339590056388475, -0.08792380248196423, 0.05820387403535492, -0.03587673805133604, -0.26138188983621896, 0.1104842293444295, 0.007993434779072071, 0.07566425369137399, -0.0038017179621794425, -0.09489863087382058, -0.013076990075847682, 0.04320332736995838, 0.014549251367091474, 0.04560986787546426, 0.11416715944377596, -0.17760570175797671, -0.11500339463955778, 0.4053357129368712, -0.08523702463854159, -0.14675952534684364, 0.20856086777742294, -0.16942934251445183, -0.10868988981032196, 0.08290329277515411, 0.14067391207551255, 0.08103548692648901, -0.08645291288746247, 0.12685848288203808, -0.06516185872160885, 0.15523323397313052, 0.02988122007535661, 0.058197839411578196, 0.22893568020971383, 0.16644550197045593, -0.005648617358768687, 0.1832075549125233, -0.08834330695270397, -0.16294037073795847, -0.2891492571654346, -0.16432679330224773, -0.16436802330015995, 0.025977394757244518, -0.04145500857634675, -0.14315996239071382, 0.3720522270483129, 0.17732573457281378, 0.20858777269501896, -0.019402965058928683, 0.23138126974706263, 0.12886719407294603, 0.035405760006431274, 0.03583576607189196, 0.23720020552111024, 0.14753700076629792, 0.04713303895037183, -0.3059758318875752, -0.028178805753807813, 0.028216320411849988] |
711.0969 | 2D Toda chain and associated commutator identity | Developing observation made in \cite{commut} we show that simple identity of
the commutator type on an associative algebra is in one-to-one correspondence
to 2D (infinite) Toda chain. We introduce representation of elements of
associative algebra that, under some generic conditions, enables derivation of
the Toda chain equation and its Lax pair from the given commutator identity.
| nlin.SI hep-th math-ph math.MP | developing observation made in citecommut we show that simple identity of the commutator type on an associative algebra is in onetoone correspondence to 2d infinite toda chain we introduce representation of elements of associative algebra that under some generic conditions enables derivation of the toda chain equation and its lax pair from the given commutator identity | [['developing', 'observation', 'made', 'in', 'citecommut', 'we', 'show', 'that', 'simple', 'identity', 'of', 'the', 'commutator', 'type', 'on', 'an', 'associative', 'algebra', 'is', 'in', 'onetoone', 'correspondence', 'to', '2d', 'infinite', 'toda', 'chain', 'we', 'introduce', 'representation', 'of', 'elements', 'of', 'associative', 'algebra', 'that', 'under', 'some', 'generic', 'conditions', 'enables', 'derivation', 'of', 'the', 'toda', 'chain', 'equation', 'and', 'its', 'lax', 'pair', 'from', 'the', 'given', 'commutator', 'identity']] | [-0.18610943674363872, 0.06479916162180334, -0.04987810414961793, 0.037024906762367624, -0.15635283968665384, -0.18772175463593818, -0.05035405341239477, 0.37778716498816556, -0.39010929402641276, -0.12774414790963584, 0.09778611561368135, -0.24833067459138958, -0.19055533056909388, 0.17142524096098813, -0.08840905509211801, -0.025657684661828998, 0.13507383714684032, 0.13329292105680163, -0.16394246407699856, -0.20274912452071228, 0.3836471794998612, -0.028550248220562936, 0.280977410454811, 0.015430447106799958, 0.18300840422849762, 0.05571497576311231, 0.0051829281517050485, -0.08934977220540696, -0.12643927754966586, 0.12707288653420454, 0.22776442498646, 0.10470129607710987, 0.14391962821510704, -0.45323864319785073, -0.070025027255443, 0.1251884067261761, 0.19541742745786905, 0.07195092564956708, -0.0977475920628587, -0.27745538706129247, 0.08728369172154503, -0.2529255987229672, -0.16454999596303838, -0.03656933294736187, 0.07478222824971784, -0.004634643718600273, -0.2696418966082009, 0.05093680912290107, 0.1239750625057654, 0.12229521321979436, -0.11541367298711769, -0.024451108700172468, -0.02999491711909121, 0.0845326677726751, -0.049938363719477574, -0.0075915228088640355, 0.04993237197737802, -0.07479278692467646, -0.12210846668617292, 0.3234426511620933, -0.041028151813555847, -0.2843544435264035, 0.15677975609221242, -0.11060899125454439, -0.20908624655990438, 0.049690838259729475, 0.023563080763613634, 0.05292023112997413, -0.14962330049073155, 0.17752080227735198, -0.12854699428108604, 0.09315314052457159, 0.04977154924788258, 0.0032564535303126006, 0.15686868603595278, 0.10026386420835148, 0.02625079797580838, 0.16903219641270964, 0.06921361615796658, -0.12084171609445052, -0.37161751657047054, -0.22783288781806318, -0.13874641112475233, 0.1444932325150479, -0.10482541641871318, -0.20555638203566726, 0.39436896548352457, 0.17459493168019186, 0.15170627841090953, 0.09979850754819133, 0.13407554440200328, 0.14977852746166967, 0.11827839470722458, 0.013642317098988728, 0.07064903083267961, 0.2761772995814681, 0.024110459646379406, -0.17579782855781642, -0.05238699435933747, 0.30436650965024126] |
711.097 | An introduction to Cosmic Rays and Gamma-Ray Bursts, and to their simple
understanding | I review the subjects of non-solar cosmic rays (CRs) and long-duration
gamma-ray bursts (GRBs). Of the various interpretations of these phenomena, the
one best supported by the data is the following. Accreting compact objects,
such as black holes, are seen to emit relativistic puffs of plasma:
`cannonballs' (CBs). The inner domain of a rotating star whose core has
collapsed resembles such an accreting system. This suggests that core-collapse
supernovae (SNe) emit CBs, as SN1987A did. The fate of a CB as it exits a SN
and travels in space can be studied as a function of the CB's mass and energy,
and of `ambient' properties: the encountered matter- and light- distributions,
the composition of the former, and the location of intelligent observers. The
latter may conclude that the interactions of CBs with ambient matter and light
generate CRs and GRBs, all of whose properties can be described by this `CB
model' with few parameters and simple physics. GRB data are still being taken
in unscrutinized domains of energy and timing. They agree accurately with the
model's predictions. CR data are centenary. Their precision will improve, but
new striking predictions are unlikely. Yet, a one-free-parameter description of
all CR data works very well. This is a bit as if one discovered QED today and
only needed to fit $\alpha$.
| hep-ph astro-ph | i review the subjects of nonsolar cosmic rays crs and longduration gammaray bursts grbs of the various interpretations of these phenomena the one best supported by the data is the following accreting compact objects such as black holes are seen to emit relativistic puffs of plasma cannonballs cbs the inner domain of a rotating star whose core has collapsed resembles such an accreting system this suggests that corecollapse supernovae sne emit cbs as sn1987a did the fate of a cb as it exits a sn and travels in space can be studied as a function of the cbs mass and energy and of ambient properties the encountered matter and light distributions the composition of the former and the location of intelligent observers the latter may conclude that the interactions of cbs with ambient matter and light generate crs and grbs all of whose properties can be described by this cb model with few parameters and simple physics grb data are still being taken in unscrutinized domains of energy and timing they agree accurately with the models predictions cr data are centenary their precision will improve but new striking predictions are unlikely yet a onefreeparameter description of all cr data works very well this is a bit as if one discovered qed today and only needed to fit alpha | [['i', 'review', 'the', 'subjects', 'of', 'nonsolar', 'cosmic', 'rays', 'crs', 'and', 'longduration', 'gammaray', 'bursts', 'grbs', 'of', 'the', 'various', 'interpretations', 'of', 'these', 'phenomena', 'the', 'one', 'best', 'supported', 'by', 'the', 'data', 'is', 'the', 'following', 'accreting', 'compact', 'objects', 'such', 'as', 'black', 'holes', 'are', 'seen', 'to', 'emit', 'relativistic', 'puffs', 'of', 'plasma', 'cannonballs', 'cbs', 'the', 'inner', 'domain', 'of', 'a', 'rotating', 'star', 'whose', 'core', 'has', 'collapsed', 'resembles', 'such', 'an', 'accreting', 'system', 'this', 'suggests', 'that', 'corecollapse', 'supernovae', 'sne', 'emit', 'cbs', 'as', 'sn1987a', 'did', 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711.0971 | Exact entropy of dimer coverings for a class of lattices in three or
more dimensions | We construct a class of lattices in three and higher dimensions for which the
number of dimer coverings can be determined exactly using elementary arguments.
These lattices are a generalization of the two-dimensional kagome lattice, and
the method also works for graphs without translational symmetry. The partition
function for dimer coverings on these lattices can be determined also for a
class of assignments of different activities to different edges.
| cond-mat.stat-mech | we construct a class of lattices in three and higher dimensions for which the number of dimer coverings can be determined exactly using elementary arguments these lattices are a generalization of the twodimensional kagome lattice and the method also works for graphs without translational symmetry the partition function for dimer coverings on these lattices can be determined also for a class of assignments of different activities to different edges | [['we', 'construct', 'a', 'class', 'of', 'lattices', 'in', 'three', 'and', 'higher', 'dimensions', 'for', 'which', 'the', 'number', 'of', 'dimer', 'coverings', 'can', 'be', 'determined', 'exactly', 'using', 'elementary', 'arguments', 'these', 'lattices', 'are', 'a', 'generalization', 'of', 'the', 'twodimensional', 'kagome', 'lattice', 'and', 'the', 'method', 'also', 'works', 'for', 'graphs', 'without', 'translational', 'symmetry', 'the', 'partition', 'function', 'for', 'dimer', 'coverings', 'on', 'these', 'lattices', 'can', 'be', 'determined', 'also', 'for', 'a', 'class', 'of', 'assignments', 'of', 'different', 'activities', 'to', 'different', 'edges']] | [-0.10808910085293262, 0.19699116621125976, -0.029315488898883694, 0.06432444529913271, -0.07221834472232107, -0.1406139579763555, 0.04378368129170891, 0.43969886760780774, -0.254261863215462, -0.2973731688723184, 0.10104452943989495, -0.24926765118658112, -0.14580225253535056, 0.17513227412406274, 0.005983970667896927, 0.04533169606187637, 0.010115656880256922, 0.023276888171507828, -0.1027623027212162, -0.32053109887730924, 0.30191325972639566, -0.05862229444977382, 0.26162950397617574, 0.08515877055976054, 0.04884398545718927, 0.011687661993546762, 0.06767452257158964, 0.07730495509947988, -0.17817026861956803, 0.16587108262963052, 0.21502757944720055, 0.009406943488326193, 0.14249266437052385, -0.40706749152446137, -0.2200690770548755, 0.12051939637319226, 0.14523424542225574, 0.15581393088517792, 0.027088660063505497, -0.25737538395206566, 0.08908202398595387, -0.1645277336752717, -0.13964248366275991, -0.11834477061621737, -0.009990034486585553, 0.0577854983292628, -0.2594192114159249, 0.0017410731677006445, 0.08559006042238596, 0.12776939614201, -0.04939799918033912, -0.15256398527518564, -0.05264102649348586, 0.11449653720078261, -0.042086620639631714, -0.02065750615725267, 0.045506870402765555, -0.1260285855986286, -0.2037623880053128, 0.4106089831262395, 0.003073918214742688, -0.26141812764631206, 0.18289388075092997, -0.1075792065349178, -0.19167811093527987, 0.11496765565538807, 0.14958885997749757, 0.11832178461000971, -0.09726002852877845, 0.057502647961381874, -0.13163156637355036, 0.13418062641352846, 0.09962889064184349, 0.04264269986500343, 0.21278466363235013, 0.10051995875529837, 0.08086743311065694, 0.20622849650343583, -0.016682455967436883, -0.12132710325059251, -0.2808280562900979, -0.142894781909991, -0.25124548125904106, 0.04890924326373615, -0.11484363085237682, -0.16666927224403058, 0.430092038816192, 0.05907644932765676, 0.19420565135669018, 0.0830224167464463, 0.15075400169344916, 0.09000422988437871, 0.09639221898185601, 0.014446838073891358, 0.12367111111761651, 0.11183517778872688, -0.04586452182949237, -0.17962447269246037, -0.05058327176189725, 0.1794279241475506] |
711.0972 | Proton Electromagnetic Form Factor Ratios at Low Q^2 | We study the ratio $R\equiv\mu G_E(Q^2)/G_M(Q^2)$ of the proton at very small
values of $Q^2$. Radii commonly associated with these form factors are not
moments of charge or magnetization densities. We show that the form factor
$F_2$ is correctly interpretable as the two-dimensional Fourier transformation
of a magnetization density. A relationship between the measurable ratio and
moments of true charge and magnetization densities is derived. We find that
existing measurements show that the magnetization density extends further than
the charge density, in contrast with expectations based on the measured
reduction of $R$ as $Q^2$ increases.
| nucl-th hep-ph nucl-ex | we study the ratio requivmu g_eq2g_mq2 of the proton at very small values of q2 radii commonly associated with these form factors are not moments of charge or magnetization densities we show that the form factor f_2 is correctly interpretable as the twodimensional fourier transformation of a magnetization density a relationship between the measurable ratio and moments of true charge and magnetization densities is derived we find that existing measurements show that the magnetization density extends further than the charge density in contrast with expectations based on the measured reduction of r as q2 increases | [['we', 'study', 'the', 'ratio', 'requivmu', 'g_eq2g_mq2', 'of', 'the', 'proton', 'at', 'very', 'small', 'values', 'of', 'q2', 'radii', 'commonly', 'associated', 'with', 'these', 'form', 'factors', 'are', 'not', 'moments', 'of', 'charge', 'or', 'magnetization', 'densities', 'we', 'show', 'that', 'the', 'form', 'factor', 'f_2', 'is', 'correctly', 'interpretable', 'as', 'the', 'twodimensional', 'fourier', 'transformation', 'of', 'a', 'magnetization', 'density', 'a', 'relationship', 'between', 'the', 'measurable', 'ratio', 'and', 'moments', 'of', 'true', 'charge', 'and', 'magnetization', 'densities', 'is', 'derived', 'we', 'find', 'that', 'existing', 'measurements', 'show', 'that', 'the', 'magnetization', 'density', 'extends', 'further', 'than', 'the', 'charge', 'density', 'in', 'contrast', 'with', 'expectations', 'based', 'on', 'the', 'measured', 'reduction', 'of', 'r', 'as', 'q2', 'increases']] | [-0.11869073975630985, 0.16103222118740682, -0.04693336451366063, 0.05617887483939769, -0.0019722389988601208, -0.04804416221343682, 0.02337017562741073, 0.37941913707281955, -0.20508572299494057, -0.2887980081441422, 0.027372228170705018, -0.29894803532509395, -0.08667519369246489, 0.1750688872785778, 0.03443301234754824, 0.003446191262800537, -0.02765502666513766, 0.05231361365276239, -0.15893448440868768, -0.17028336828544496, 0.30229321422596134, 0.020850571883862377, 0.3036148324308376, 0.06895792159321969, 0.060100400319663426, -0.00044623784400442596, 0.014695882571921233, 0.08054678889131674, -0.16494875236015993, 0.10268040465801874, 0.22797131316075403, 0.04049924560271764, 0.15780682938632815, -0.3907801174328372, -0.15514133245714248, 0.0675217642108359, 0.0933558890766274, 0.059479982399391715, -0.02955846613027676, -0.18357213049806576, 0.07606756705189904, -0.15215178853481687, -0.14264454140317856, -0.13996076913330183, 0.02956980366700439, 0.0906551344725754, -0.3333410210757246, 0.17925724669080947, 0.04933821059442976, 0.0410841151130616, -0.06609488224550601, -0.2016587738468442, -0.06741065682182389, 0.06991672783999914, 0.11203717628133393, 0.08879151852470973, 0.16782944581361228, -0.14387180015409706, -0.056823988935800006, 0.3145895104364602, -0.06768380281573627, -0.1741887441315558, 0.12459642390009537, -0.27815001143483065, -0.10303340027120055, 0.14290839081169457, 0.13998474151907508, 0.11284895493368548, -0.0991052154511694, 0.07102489101785606, -0.049833079348117995, 0.22473876194287373, 0.08025256012220897, 0.03504322632966984, 0.19732996395799102, 0.12100857505149218, 0.04856832449134159, 0.0783585559924744, -0.14509095349511814, -0.06060045481389088, -0.29072837175060345, -0.14664331661357033, -0.21112424822934772, 0.09442653789661289, -0.11036040910778777, -0.125349201342111, 0.342618664140783, 0.13366986128191152, 0.2757211294405723, 0.07321180865889595, 0.30005715859513127, 0.18193765689233338, 0.10182736805009265, 0.08644305630236544, 0.21285985797513476, 0.18149578177259976, 0.0634132965457856, -0.24893682529168423, 0.10547833659395736, 0.021257066761233633] |
711.0973 | Magnetic dynamo action in helical turbulence | We investigate magnetic field amplification in a turbulent velocity field
with nonzero helicity, in the framework of the kinematic Kazantsev-Kraichnan
model. We present the numerical solution of the model for the practically
important case of Kolmogorov distribution of velocity fluctuations, with a
large magnetic Reynolds number. We find that in contrast to the nonhelical case
where growing magnetic fields are described by a few bound eigenmodes
concentrated inside the inertial interval of the velocity field, in the helical
case the number of bound eigenmodes considerably increases; moreover, new
unbound eigenmodes appear. Both bound and unbound eigenmodes contribute to the
large-scale magnetic field. This indicates a limited applicability of the
conventional alpha model of a large-scale dynamo action, which captures only
unbound modes.
| astro-ph physics.flu-dyn physics.plasm-ph | we investigate magnetic field amplification in a turbulent velocity field with nonzero helicity in the framework of the kinematic kazantsevkraichnan model we present the numerical solution of the model for the practically important case of kolmogorov distribution of velocity fluctuations with a large magnetic reynolds number we find that in contrast to the nonhelical case where growing magnetic fields are described by a few bound eigenmodes concentrated inside the inertial interval of the velocity field in the helical case the number of bound eigenmodes considerably increases moreover new unbound eigenmodes appear both bound and unbound eigenmodes contribute to the largescale magnetic field this indicates a limited applicability of the conventional alpha model of a largescale dynamo action which captures only unbound modes | [['we', 'investigate', 'magnetic', 'field', 'amplification', 'in', 'a', 'turbulent', 'velocity', 'field', 'with', 'nonzero', 'helicity', 'in', 'the', 'framework', 'of', 'the', 'kinematic', 'kazantsevkraichnan', 'model', 'we', 'present', 'the', 'numerical', 'solution', 'of', 'the', 'model', 'for', 'the', 'practically', 'important', 'case', 'of', 'kolmogorov', 'distribution', 'of', 'velocity', 'fluctuations', 'with', 'a', 'large', 'magnetic', 'reynolds', 'number', 'we', 'find', 'that', 'in', 'contrast', 'to', 'the', 'nonhelical', 'case', 'where', 'growing', 'magnetic', 'fields', 'are', 'described', 'by', 'a', 'few', 'bound', 'eigenmodes', 'concentrated', 'inside', 'the', 'inertial', 'interval', 'of', 'the', 'velocity', 'field', 'in', 'the', 'helical', 'case', 'the', 'number', 'of', 'bound', 'eigenmodes', 'considerably', 'increases', 'moreover', 'new', 'unbound', 'eigenmodes', 'appear', 'both', 'bound', 'and', 'unbound', 'eigenmodes', 'contribute', 'to', 'the', 'largescale', 'magnetic', 'field', 'this', 'indicates', 'a', 'limited', 'applicability', 'of', 'the', 'conventional', 'alpha', 'model', 'of', 'a', 'largescale', 'dynamo', 'action', 'which', 'captures', 'only', 'unbound', 'modes']] | [-0.21559033752037365, 0.22801881308713165, -0.02961542213824196, 0.062241939145529675, -0.054338537061159486, -0.049453495253549244, -0.010955769341576417, 0.2865763306558098, -0.2400574443983983, -0.33066550153689306, -0.0036497396697503987, -0.20635244010882758, -0.10853128280246356, 0.2058902007439861, 0.044194149275188194, 0.032887092646455666, 0.0480320130638992, 0.07798502188878226, 0.007845744249204815, -0.16092890126203171, 0.3141950633487527, 0.05244154479644704, 0.28936811525099837, 0.014381204945508574, 0.052177403847396865, -0.07258892866981323, 0.006351138827711588, 0.07132201766228823, -0.15108764243578648, 0.0640106076741072, 0.16948774018798207, 0.035327599002201046, 0.27486256235202805, -0.4292034587868657, -0.20781199816522783, 0.05599154214771678, 0.2365773984376097, 0.14215409692632583, -0.056672322575277725, -0.2501366898459459, 0.06740256599207851, -0.15838759920376613, -0.1757908368952664, -0.06559785673791757, 0.03195997493601114, 0.018754787544613002, -0.30184533487486304, 0.159633389311522, 0.07057809994315545, 0.09289789191431931, -0.11089445905546184, -0.08869046713301881, -0.041518665811993545, 0.06454104402285742, 0.12164655729048107, 0.04208341770286321, 0.16388603738035823, -0.19678839548971871, -0.038781692418956855, 0.3520401421567944, -0.07581258168993671, -0.2082317272911123, 0.15629732835900467, -0.22342706990397734, -0.08810293326869065, 0.17707790053434302, 0.20666916709208144, 0.13966526010943975, -0.04495055771997718, 0.08063176277693081, -0.09410890544474614, 0.16154533197156717, 0.0302974583397879, 0.028648991590045147, 0.20465284049869745, 0.14629310053070915, 0.04679238490882467, 0.13955458863943693, -0.14951177286442185, -0.1056159158183842, -0.2842188398888121, -0.1288019576349456, -0.17687982867365, 0.022347863208212446, -0.07728456787478281, -0.21246693918450935, 0.3962149941209765, 0.1834300101485884, 0.17899618789049812, 0.024545856886047136, 0.3167705504055761, 0.12619994038460228, 0.06625336332754309, 0.1593999822020958, 0.30911178331150385, 0.21361142646551864, 0.10160875208217834, -0.251331928647963, -0.011760808768411183, 0.028922056836518842] |
711.0974 | Heavy Ion Collisions at the LHC - Last Call for Predictions | This writeup is a compilation of the predictions for the forthcoming Heavy
Ion Program at the Large Hadron Collider, as presented at the CERN Theory
Institute 'Heavy Ion Collisions at the LHC - Last Call for Predictions', held
from May 14th to June 10th 2007.
| hep-ph hep-ex nucl-ex nucl-th | this writeup is a compilation of the predictions for the forthcoming heavy ion program at the large hadron collider as presented at the cern theory institute heavy ion collisions at the lhc last call for predictions held from may 14th to june 10th 2007 | [['this', 'writeup', 'is', 'a', 'compilation', 'of', 'the', 'predictions', 'for', 'the', 'forthcoming', 'heavy', 'ion', 'program', 'at', 'the', 'large', 'hadron', 'collider', 'as', 'presented', 'at', 'the', 'cern', 'theory', 'institute', 'heavy', 'ion', 'collisions', 'at', 'the', 'lhc', 'last', 'call', 'for', 'predictions', 'held', 'from', 'may', '14th', 'to', 'june', '10th', '2007']] | [-0.010584091757085513, 0.22173875036903404, -0.15102106992112982, 0.08901148379399357, -0.034569927914576096, -0.14918464061338454, -0.06400414623203687, 0.19595052606680177, -0.1986877544550225, -0.3441616586748172, 0.10862566966732795, -0.394048389936374, 0.12859513206322762, 0.2082686547443948, 0.03144311386329884, 0.07710541997485879, 0.20006722554733808, -0.038674980994652615, -0.030280640010129322, -0.31383951871909876, 0.2203398559094322, 0.29570954089814966, 0.2645870020443743, 0.16660740713334896, 0.09537447318011387, 0.052509407740382645, -0.036564474502070385, -0.07677103460512379, -0.07932358656332573, 0.12065644644330446, 0.37782073338431393, 0.10630817779085854, 0.2487674554259601, -0.4206520756283267, -0.03768635363402692, 0.03440961320567029, 0.0065196314614943485, 0.17673964641818946, -0.08147824185223064, -0.26630284429781814, 0.05563422373697077, -0.2682426009665836, -0.1851338857615536, 0.08950004781681029, 0.05399744392541999, -0.0636331190101125, -0.2595488114536486, -0.027874762573364107, -0.09722455418457022, 0.17730356790972027, 0.02987304130907763, -0.24363128963688557, -0.017291156501001256, -0.038822848360392855, 0.041381568219301036, 0.10388299680992284, 0.12909524142742157, -0.097972348816587, -0.17879841590448367, 0.39247029985893855, -0.02979065703270449, 0.09192875933579424, 0.2105077090990645, -0.2511961156798696, -0.268278079520149, 0.09051866016604683, 0.379313464445824, 0.039066860071298753, -0.18865612157705156, 0.13434868058274416, -0.02043872036632489, 0.1529075356859473, 0.1405585465995087, -0.012249714462086558, 0.32030973939055746, 0.22742092325775462, -0.04477878034495833, 0.02442877577810908, -0.10853303600610657, -0.05484844744205475, -0.5334382963112809, -0.054787900700995866, -0.10155564346562394, -0.03959965007115071, 0.10044832419688729, -0.01140806879001585, 0.3350050382062115, 0.12035167740329845, 0.1805866779547862, -0.041217177651229904, 0.22225968704812907, 0.047231153413039545, 0.03222394230661765, 0.08949209697410962, 0.32263092865998094, 0.08687079780396413, 0.33240746274929156, -0.19781372221636542, 0.05893653611102226, 0.1665028704076328] |
711.0975 | Anisotropic Pressures in Very Dense Magnetized Matter | The problem of anisotropic pressures arising as a consequence of the spatial
symmetry breaking introduced by an external magnetic field in quantum systems
is discussed. The role of the conservation of energy and momentum of external
fields as well as of systems providing boundary conditions in quantum
statistics is considered. The vanishing of the average transverse momentum for
an electron-positron system in its Landau ground state is shown, which means
the vanishing of its transverse pressure. The situation for neutron case and
Strange Quark Matter (SQM) in $\beta$-equilibrium is also briefly discussed.
Thermodynamical relations in external fields as well as the form of the stress
tensor in a quantum relativistic medium are also discussed. The ferromagnetic
symmetry breaking is briefly discussed.
| astro-ph | the problem of anisotropic pressures arising as a consequence of the spatial symmetry breaking introduced by an external magnetic field in quantum systems is discussed the role of the conservation of energy and momentum of external fields as well as of systems providing boundary conditions in quantum statistics is considered the vanishing of the average transverse momentum for an electronpositron system in its landau ground state is shown which means the vanishing of its transverse pressure the situation for neutron case and strange quark matter sqm in betaequilibrium is also briefly discussed thermodynamical relations in external fields as well as the form of the stress tensor in a quantum relativistic medium are also discussed the ferromagnetic symmetry breaking is briefly discussed | [['the', 'problem', 'of', 'anisotropic', 'pressures', 'arising', 'as', 'a', 'consequence', 'of', 'the', 'spatial', 'symmetry', 'breaking', 'introduced', 'by', 'an', 'external', 'magnetic', 'field', 'in', 'quantum', 'systems', 'is', 'discussed', 'the', 'role', 'of', 'the', 'conservation', 'of', 'energy', 'and', 'momentum', 'of', 'external', 'fields', 'as', 'well', 'as', 'of', 'systems', 'providing', 'boundary', 'conditions', 'in', 'quantum', 'statistics', 'is', 'considered', 'the', 'vanishing', 'of', 'the', 'average', 'transverse', 'momentum', 'for', 'an', 'electronpositron', 'system', 'in', 'its', 'landau', 'ground', 'state', 'is', 'shown', 'which', 'means', 'the', 'vanishing', 'of', 'its', 'transverse', 'pressure', 'the', 'situation', 'for', 'neutron', 'case', 'and', 'strange', 'quark', 'matter', 'sqm', 'in', 'betaequilibrium', 'is', 'also', 'briefly', 'discussed', 'thermodynamical', 'relations', 'in', 'external', 'fields', 'as', 'well', 'as', 'the', 'form', 'of', 'the', 'stress', 'tensor', 'in', 'a', 'quantum', 'relativistic', 'medium', 'are', 'also', 'discussed', 'the', 'ferromagnetic', 'symmetry', 'breaking', 'is', 'briefly', 'discussed']] | [-0.19748447261859417, 0.251493019284921, -0.057216696067874835, 0.1123810708455449, -0.0332140756120582, -0.060937027192928574, -0.027766432488060072, 0.3158833587191968, -0.23908006037346835, -0.2742150818143994, 0.06619223897837964, -0.23293314323075548, -0.07251787325752175, 0.16200873409282446, 0.02007103451212083, 0.06956494778292716, -0.041000151516069186, 0.08338563681641702, -0.06634313414596822, -0.20241489211455266, 0.37581418129838695, 0.07693774647306466, 0.2865419546411611, 0.11267637105058294, 0.09563812871717593, 0.02407805483849827, 0.029545045958077613, 0.04301709884658363, -0.08495880543900854, -0.00936403019018933, 0.21007837616975134, 0.015208582435195789, 0.18744554970836053, -0.41495103661494315, -0.22044616039988607, 0.04692570475692099, 0.11379921238499978, 0.14128656940407713, -0.08796460145299347, -0.29174169482209156, 0.036285764233724885, -0.2078387664846522, -0.22039562090076814, -0.10803252610970628, 0.014111470070298114, 0.02495556574869008, -0.2364077528030419, 0.14482493981409217, 0.08809298626916899, 0.083537028240394, -0.11567362855488728, -0.12781928675460882, -0.08644414194744111, 0.062348424079866446, 0.11906399039651676, 0.04416895484982813, 0.14886931295906894, -0.22760232294763416, -0.10240369725372057, 0.4508421066070884, -0.02069885595239822, -0.21281091066862434, 0.14501951091676518, -0.12577513967494458, -0.09096411247699221, 0.05978245012585289, 0.139584772985367, 0.09144477405746983, -0.16040284491398119, 0.11729285401034299, -0.008460549959982168, 0.08879567150503767, 0.0559392388148064, 0.0842499659081136, 0.2424483151937073, 0.14667241985059135, 0.03411260726746203, 0.17892938052604268, -0.05795567357058306, -0.12822867875287602, -0.3695905311071614, -0.17907120496773524, -0.19289754124835504, 0.06345061629179342, -0.06050841892325735, -0.15380236582733375, 0.35184444062419484, 0.09865320902433215, 0.17507327348041957, -0.08578959706504945, 0.2913436106587029, 0.1640297307792574, 0.023498721632429144, 0.05166883199294829, 0.2869709538495984, 0.2553273208635621, 0.171904909732359, -0.2637983710016316, -0.011821630214579588, 0.043004802081826304] |
711.0976 | Bose-Einstein condensation and superfluidity of magnetobiexcitons in
quantum wells' and graphene superlattices | We propose the Bose-Einstein condensation (BEC) and superfluidity of
quasi-two-dimensional (2D) spatially indirect magnetobiexcitons in a slab of
superlattice with alternating electron and hole layers consisting from the
semiconducting quantum wells (QWs) and graphene superlattice in high magnetic
field. The two different Hamiltonians of a dilute gas of magnetoexcitons with a
dipole-dipole repulsion in superlattices consisting of both QWs and graphene
layers in the limit of high magnetic field have been reduced to one effective
Hamiltonian a dilute gas of two-dimensional excitons without magnetic field.
Moreover, for $N$ excitons we have reduced the problem of $2N\times 2$
dimensional space onto the problem of $N\times 2$ dimensional space by
integrating over the coordinates of the relative motion of an electron (e) and
a hole (h). The instability of the ground state of the system of interacting
two-dimensional indirect magnetoexcitons in a slab of superlattice with
alternating electron and hole layers in high magnetic field is established. The
stable system of indirect quasi-two-dimensional magnetobiexcitons, consisting
of pair of indirect excitons with opposite dipole moments is considered. The
density of superfluid component $n_{s}(T)$ and the temperature of the
Kosterlitz-Thouless phase transition to the superfluid state in the system of
two-dimensional indirect magnetobiexcitons, interacting as electrical
quadrupoles, are obtained for both QW and graphene realizations.
| cond-mat.mes-hall cond-mat.str-el | we propose the boseeinstein condensation bec and superfluidity of quasitwodimensional 2d spatially indirect magnetobiexcitons in a slab of superlattice with alternating electron and hole layers consisting from the semiconducting quantum wells qws and graphene superlattice in high magnetic field the two different hamiltonians of a dilute gas of magnetoexcitons with a dipoledipole repulsion in superlattices consisting of both qws and graphene layers in the limit of high magnetic field have been reduced to one effective hamiltonian a dilute gas of twodimensional excitons without magnetic field moreover for n excitons we have reduced the problem of 2ntimes 2 dimensional space onto the problem of ntimes 2 dimensional space by integrating over the coordinates of the relative motion of an electron e and a hole h the instability of the ground state of the system of interacting twodimensional indirect magnetoexcitons in a slab of superlattice with alternating electron and hole layers in high magnetic field is established the stable system of indirect quasitwodimensional magnetobiexcitons consisting of pair of indirect excitons with opposite dipole moments is considered the density of superfluid component n_st and the temperature of the kosterlitzthouless phase transition to the superfluid state in the system of twodimensional indirect magnetobiexcitons interacting as electrical quadrupoles are obtained for both qw and graphene realizations | [['we', 'propose', 'the', 'boseeinstein', 'condensation', 'bec', 'and', 'superfluidity', 'of', 'quasitwodimensional', '2d', 'spatially', 'indirect', 'magnetobiexcitons', 'in', 'a', 'slab', 'of', 'superlattice', 'with', 'alternating', 'electron', 'and', 'hole', 'layers', 'consisting', 'from', 'the', 'semiconducting', 'quantum', 'wells', 'qws', 'and', 'graphene', 'superlattice', 'in', 'high', 'magnetic', 'field', 'the', 'two', 'different', 'hamiltonians', 'of', 'a', 'dilute', 'gas', 'of', 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711.0977 | Affine Hermitian-Einstein Metrics | We develop a theory of stable bundles and affine Hermitian-Einstein metrics
for flat vector bundles over a special affine manifold (a manifold admitting an
atlas whose gluing maps are all locally constant volume-preserving affine
maps). Our paper presents a parallel to Donaldson-Uhlenbeck-Yau's proof of the
existence of Hermitian-Einstein metrics on K\"ahler manifolds, and the
extension of this theorem by Li-Yau to the non-K\"ahler complex case of
Gauduchon metrics. Our definition of stability involves only flat vector
subbundles (and not singular subsheaves), and so is simpler than the complex
case in some places.
| math.DG math.GT | we develop a theory of stable bundles and affine hermitianeinstein metrics for flat vector bundles over a special affine manifold a manifold admitting an atlas whose gluing maps are all locally constant volumepreserving affine maps our paper presents a parallel to donaldsonuhlenbeckyaus proof of the existence of hermitianeinstein metrics on kahler manifolds and the extension of this theorem by liyau to the nonkahler complex case of gauduchon metrics our definition of stability involves only flat vector subbundles and not singular subsheaves and so is simpler than the complex case in some places | [['we', 'develop', 'a', 'theory', 'of', 'stable', 'bundles', 'and', 'affine', 'hermitianeinstein', 'metrics', 'for', 'flat', 'vector', 'bundles', 'over', 'a', 'special', 'affine', 'manifold', 'a', 'manifold', 'admitting', 'an', 'atlas', 'whose', 'gluing', 'maps', 'are', 'all', 'locally', 'constant', 'volumepreserving', 'affine', 'maps', 'our', 'paper', 'presents', 'a', 'parallel', 'to', 'donaldsonuhlenbeckyaus', 'proof', 'of', 'the', 'existence', 'of', 'hermitianeinstein', 'metrics', 'on', 'kahler', 'manifolds', 'and', 'the', 'extension', 'of', 'this', 'theorem', 'by', 'liyau', 'to', 'the', 'nonkahler', 'complex', 'case', 'of', 'gauduchon', 'metrics', 'our', 'definition', 'of', 'stability', 'involves', 'only', 'flat', 'vector', 'subbundles', 'and', 'not', 'singular', 'subsheaves', 'and', 'so', 'is', 'simpler', 'than', 'the', 'complex', 'case', 'in', 'some', 'places']] | [-0.2233331134123216, 0.02576633851356666, -0.0659281264396978, 0.07082567025221638, -0.1605642719327339, -0.19903101353486488, -0.038795082982128054, 0.36906647931907205, -0.2452717769154153, -0.16272015786463662, 0.1273555426825104, -0.2322414033140496, -0.20119892908157883, 0.2093271426242459, -0.17778977172213842, 0.007913309098272533, 0.06012770907114168, 0.058416650241629765, -0.1216629766296227, -0.29417964272907227, 0.5180558633765431, 0.002894910187543636, 0.26560102873942354, 0.07317233165459973, 0.1802866232330696, -0.0019300182012247516, -0.022111701625552805, 0.020288835949991105, -0.13760058809542558, 0.17192660017287012, 0.28460731596307276, 0.07809513518177383, 0.18027993156523495, -0.33193120187414543, -0.1984877061037408, 0.22601040951129828, 0.09838085487781727, 0.026918854060388363, 0.0021456267293235593, -0.3069850124040066, 0.09195077900293765, -0.07229467293830937, -0.1875296496622428, -0.1317381784268706, 0.007265670787911494, -0.01643904730431981, -0.19505250948010483, -0.012547546196831287, 0.129726405531823, 0.09507481835700654, -0.14114298254435698, -0.05828161699349409, -0.11216800392875294, 0.010958847871234457, 0.017212079108723407, 0.0868025819763316, 0.11486554386319367, -0.03577751392347656, -0.12221685028890823, 0.3327880255330436, -0.10480000340500667, -0.35624724751783554, 0.11771314074080642, -0.07689101240792118, -0.1667352516695366, 0.13120657846889366, 0.12769247475847767, 0.22973461688629218, -0.03470889368391299, 0.178916002580241, -0.0923933034332899, 0.04030140626479636, 0.09141618068135537, -0.03764267500674168, 0.12775307480286766, 0.10902554617560171, 0.18160002139796103, 0.08979951763771228, 0.03580561802968137, -0.13031052785751585, -0.3922680735096827, -0.22988662673262777, -0.04157096273291365, 0.19439854561162545, -0.16808198816539555, -0.2491353697982709, 0.4218972086251437, -0.037898378380175145, 0.2291075576680129, 0.16336766981959835, 0.2566806879892413, -0.019831883017444513, 0.035733603910737474, 0.10451629727306151, 0.21859955322157315, 0.23330136923027317, 0.03099226499114513, -0.036960737724727084, -0.06863578295355642, 0.1857462489752324] |
711.0978 | Construction of SU(3) irreps in canonical SO(3)-coupled bases | Alternative canonical methods for defining canonical SO(3)-coupled bases for
SU(3) irreps are considered and compared. It is shown that a basis that
diagonalizes a particular linear combination of SO(3) invariants in the SU(3)
universal enveloping algebra gives basis states that have good $K$ quantum
numbers in the asymptotic rotor-model limit.
| math-ph math.MP | alternative canonical methods for defining canonical so3coupled bases for su3 irreps are considered and compared it is shown that a basis that diagonalizes a particular linear combination of so3 invariants in the su3 universal enveloping algebra gives basis states that have good k quantum numbers in the asymptotic rotormodel limit | [['alternative', 'canonical', 'methods', 'for', 'defining', 'canonical', 'so3coupled', 'bases', 'for', 'su3', 'irreps', 'are', 'considered', 'and', 'compared', 'it', 'is', 'shown', 'that', 'a', 'basis', 'that', 'diagonalizes', 'a', 'particular', 'linear', 'combination', 'of', 'so3', 'invariants', 'in', 'the', 'su3', 'universal', 'enveloping', 'algebra', 'gives', 'basis', 'states', 'that', 'have', 'good', 'k', 'quantum', 'numbers', 'in', 'the', 'asymptotic', 'rotormodel', 'limit']] | [-0.15731641314414446, 0.12458505960724627, -0.13871443974009404, 0.09686056230808997, -0.07882438733940944, -0.14603675661298135, -0.0011782542812094714, 0.358463995391503, -0.21822128095664084, -0.15201680071186274, 0.06435066140935912, -0.20940133735227087, -0.16345193636758873, 0.1920596015600798, -0.009198734662883604, 0.056334733710779496, 0.060168009309563786, 0.10627948083371545, -0.18836760897829663, -0.22468184157817936, 0.2952242405784394, 0.013416869660431985, 0.3319720597937703, -0.07849963507032953, 0.13548644061665982, -0.03240269377905255, 0.022958710227006424, 6.827440423270066e-05, -0.09302203296814089, 0.10474440606170295, 0.34480264348288375, 0.06086964174755849, 0.14856593621273836, -0.3644538555527106, -0.13896181151115647, 0.13109997626937306, 0.1803894175197153, 0.1058699775991651, -0.01813931594369933, -0.20926881860941648, 0.0888750040121522, -0.23416843121716133, -0.14346130710327998, -0.20520404799996564, 0.08887665264774114, -0.06016463481743509, -0.28588854839714867, 0.05954639823175967, 0.0572285756158332, 0.10627235188925017, -0.021270729339448735, -0.2030660826518821, -0.07706863922066987, 0.05853617158330356, -0.027405278936688166, 0.0517596861657997, 0.08329609869785297, -0.10910917708436803, -0.17981922277249396, 0.40265599424795556, -0.04049613303504884, -0.26307537709362805, 0.11113654016905154, -0.08866613168114175, -0.1878304723504698, 0.07900222903117537, 0.02454587065828188, 0.09001830323056008, -0.07942916439302887, 0.22269173185607846, -0.1461413135402836, 0.09253106838635479, 0.06809273204028916, 0.09774878522148356, 0.16827899762817347, 0.058192515508077726, 0.036572810849368885, 0.1143676907910655, 0.08031303753765921, -0.15738111555886766, -0.35911807557567954, -0.19722570659359917, -0.16550540778553113, 0.1109623891825322, -0.12776676936937292, -0.14433939630968476, 0.36418422070952755, 0.08577409043209627, 0.17899710372633612, 0.06686506231199019, 0.19693871769898882, 0.13529090841378397, 0.1059734422985154, 0.06119769956179274, 0.22012519537626454, 0.26942053677824634, -0.05210271471878514, -0.20467706257962467, -0.056354635230187945, 0.20214990858221427] |
711.0979 | Minimal Homeomorphisms on Low-Dimension Tori | In this article we study minimal homeomorphisms(all orbits are dense) of the
tori $T^{n},$ $n<5.$ The linear part of a homeomorphism $\phi $ of $T^{n}$ is
the linear mapping $L$ induced by $\phi $ on the first homology group of
$T^{n}$. It follows from the Lefschetz fixed point theorem that 1 is an
eigenvalue of $L$ if $\phi $ minimal. We show that if $\phi $ is minimal and
$n<5$ then $L$ is quasi-unipontent, i.e., all the eigenvalues of $L$ are roots
of unity and conversely if $L\in GL(n,\Z)$ is quasi-unipotent and 1 is an
eigenvalue of $L$ then there exists a $ C^{\infty}$ minimal skew-product
diffeomorphism $\phi $ of $T^{n}$ whose linear part is precisely $L.$ We do not
know if these results are true for $n>4$. We give a sufficient condition for a
smooth skew-product diffeomorphism of a torus of arbitrary dimension to be
smoothly conjugate to an affine transformation.
| math.DS | in this article we study minimal homeomorphismsall orbits are dense of the tori tn n5 the linear part of a homeomorphism phi of tn is the linear mapping l induced by phi on the first homology group of tn it follows from the lefschetz fixed point theorem that 1 is an eigenvalue of l if phi minimal we show that if phi is minimal and n5 then l is quasiunipontent ie all the eigenvalues of l are roots of unity and conversely if lin glnz is quasiunipotent and 1 is an eigenvalue of l then there exists a cinfty minimal skewproduct diffeomorphism phi of tn whose linear part is precisely l we do not know if these results are true for n4 we give a sufficient condition for a smooth skewproduct diffeomorphism of a torus of arbitrary dimension to be smoothly conjugate to an affine transformation | [['in', 'this', 'article', 'we', 'study', 'minimal', 'homeomorphismsall', 'orbits', 'are', 'dense', 'of', 'the', 'tori', 'tn', 'n5', 'the', 'linear', 'part', 'of', 'a', 'homeomorphism', 'phi', 'of', 'tn', 'is', 'the', 'linear', 'mapping', 'l', 'induced', 'by', 'phi', 'on', 'the', 'first', 'homology', 'group', 'of', 'tn', 'it', 'follows', 'from', 'the', 'lefschetz', 'fixed', 'point', 'theorem', 'that', '1', 'is', 'an', 'eigenvalue', 'of', 'l', 'if', 'phi', 'minimal', 'we', 'show', 'that', 'if', 'phi', 'is', 'minimal', 'and', 'n5', 'then', 'l', 'is', 'quasiunipontent', 'ie', 'all', 'the', 'eigenvalues', 'of', 'l', 'are', 'roots', 'of', 'unity', 'and', 'conversely', 'if', 'lin', 'glnz', 'is', 'quasiunipotent', 'and', '1', 'is', 'an', 'eigenvalue', 'of', 'l', 'then', 'there', 'exists', 'a', 'cinfty', 'minimal', 'skewproduct', 'diffeomorphism', 'phi', 'of', 'tn', 'whose', 'linear', 'part', 'is', 'precisely', 'l', 'we', 'do', 'not', 'know', 'if', 'these', 'results', 'are', 'true', 'for', 'n4', 'we', 'give', 'a', 'sufficient', 'condition', 'for', 'a', 'smooth', 'skewproduct', 'diffeomorphism', 'of', 'a', 'torus', 'of', 'arbitrary', 'dimension', 'to', 'be', 'smoothly', 'conjugate', 'to', 'an', 'affine', 'transformation']] | [-0.22040808013763227, 0.14446409438854366, -0.07726784441264398, 0.03876822130243656, -0.08598993040343178, -0.1715776434899049, -0.024399616677126486, 0.3445956280532603, -0.3058771050742103, -0.17665983022501072, 0.11800629744619881, -0.3001644084611649, -0.16632192044441277, 0.14967740317499395, -0.0797472515639836, 0.019721981849417917, 0.01754146425648489, 0.14234532090308172, -0.10405419398577781, -0.24130983871873468, 0.35635338326553917, -0.054270499887125984, 0.12448797631562532, 0.058231769158737734, 0.1292196355902383, -0.036813412304683074, 0.02806775770053112, 0.006857999380574458, -0.1821308476991261, 0.05685356053032188, 0.2538272200617939, 0.11469178121478762, 0.1996350470193041, -0.3370331419735319, -0.11540583195973239, 0.2247224370172868, 0.11764328351839343, -0.01732587425471542, 0.015177910527401965, -0.2074732249796701, 0.1994649966687171, -0.0959995103508441, -0.16114588943633457, -0.07031777854556115, 0.1088298878684226, -0.013536875823370388, -0.28507546848979676, 0.03184487271460057, 0.19447706804041648, 0.12281811987243903, -0.012209020158883909, -0.05915181920863688, -0.0948212601587228, 0.08638375637221746, 0.017063142966233298, 0.1067111228751148, 0.10349327645316306, -0.062191756026651196, -0.05309730706115564, 0.3777444343722891, -0.07277164835896757, -0.24777922648677808, 0.1429642170939284, -0.177305375132063, -0.17521705547066327, 0.1462587804966865, 0.06530625448633348, 0.13317887436520928, -0.06649207826315735, 0.259030378415951, -0.1470579434535466, 0.17300299992045134, 0.07025194606992752, -0.06914407351481107, 0.11742871460026233, 0.05789460955970248, 0.17466186413568924, 0.12193615306508339, 0.0008478706343642747, -0.015388892109816274, -0.3981817422641648, -0.1856946699586438, -0.1887316298679151, 0.1629516316737257, -0.1006754613510768, -0.14655589040679237, 0.3442182667753918, 0.015481700129587099, 0.23920149793977746, 0.12195473458733533, 0.22164939465114408, 0.13186823206544634, 0.03204181115143001, 0.13539248793204528, 0.13891092525833906, 0.17182501458672858, -0.026986687094904482, -0.19043458037453498, -0.07577089472841989, 0.16524457050319244] |
711.098 | Search for Lepton Flavor Violating Decays \tau^\pm \to l^\pm\omega (l =
e, \mu) | We have searched for lepton flavor violating decays of a $\tau$ to a
lighter-mass charged lepton and an $\omega$ vector mesonusing 384.1 $fb^{-}$ of
$e^+e^- $ annihilation data collected with the BABAR detector at the Stanford
Linear Accelerator Center PEP-II storage ring. No signal is found, and the
upper limits on the branching ratios are determined to be ${\cal B}(\tau^{\pm}
\to \mathrm{e}^{\pm} \omega) < 1.1\times10^{-7}$ and ${\cal B}(\tau^{\pm} \to
\mu^{\pm} \omega) < 1.0\times10^{-7}$ at 90% confidence level.
| hep-ex | we have searched for lepton flavor violating decays of a tau to a lightermass charged lepton and an omega vector mesonusing 3841 fb of ee annihilation data collected with the babar detector at the stanford linear accelerator center pepii storage ring no signal is found and the upper limits on the branching ratios are determined to be cal btaupm to mathrmepm omega 11times107 and cal btaupm to mupm omega 10times107 at 90 confidence level | [['we', 'have', 'searched', 'for', 'lepton', 'flavor', 'violating', 'decays', 'of', 'a', 'tau', 'to', 'a', 'lightermass', 'charged', 'lepton', 'and', 'an', 'omega', 'vector', 'mesonusing', '3841', 'fb', 'of', 'ee', 'annihilation', 'data', 'collected', 'with', 'the', 'babar', 'detector', 'at', 'the', 'stanford', 'linear', 'accelerator', 'center', 'pepii', 'storage', 'ring', 'no', 'signal', 'is', 'found', 'and', 'the', 'upper', 'limits', 'on', 'the', 'branching', 'ratios', 'are', 'determined', 'to', 'be', 'cal', 'btaupm', 'to', 'mathrmepm', 'omega', '11times107', 'and', 'cal', 'btaupm', 'to', 'mupm', 'omega', '10times107', 'at', '90', 'confidence', 'level']] | [-0.13019685517149587, 0.1920888233557428, -0.003468628311394781, 0.0852675143936379, -0.06863030938404625, -0.1791121767077973, 0.07829724162634787, 0.2864288370381447, -0.17554573382696378, -0.24993057200766128, 0.015400749786446491, -0.4198114159314529, 0.13595387083140836, 0.15062913260645355, 0.08824497567948655, 0.10966221805985855, 0.0834138812362284, 0.06827483716947229, -0.04469551943053586, -0.20382131235269102, 0.15704475682687716, 0.10623880362718542, 0.2500599154163206, 0.09279896244676648, 0.04435398124759018, -0.06705128563487012, -0.028114350681341646, -0.10945849233995313, -0.11691910444178442, 0.05078388926188421, 0.2582004289480223, 0.18786809754733375, 0.03198773910601934, -0.35124775969787786, 0.03495296326033987, 0.2448765381063888, 0.14721200437676432, -0.03349273394037416, -0.02433832151228157, -0.40966273041145096, 0.19122527786733015, -0.18624030971440717, -0.03881969340390229, 0.011703913808678803, 0.10802192330036474, -0.09831198697835478, -0.4028831447299192, 0.05763157184465208, -0.060022301405020385, 0.06647432472285193, -0.003958231722261163, -0.22189368755705113, -0.05766177211172771, -0.06340102450517208, 0.051533161699636905, 0.07797465495895121, 0.21966053001528632, -0.10936543774669585, -0.1818616235277791, 0.35219969470863755, -0.08717083816241095, -0.17485989590531445, 0.14488402432829572, -0.3000163777353431, -0.1568121424086554, 0.15307469582994995, 0.2952860038983973, 0.02962964866310358, -0.21600742134657028, 0.21705884907640977, -0.05043031481783027, 0.13169431709346996, 0.15810729335129692, 0.056919208584366825, 0.19645944573120147, 0.19932047651567752, 0.06126395769230009, 0.04554341291921024, -0.1356788046043906, 0.046296557411551476, -0.41634184934630775, -0.07028858169265416, -0.049225128944153373, 0.10208654278160437, -0.012261479741436484, -0.03326210664058833, 0.31995570373491966, 0.009170643357641024, 0.3449393146927806, 0.03723885817453265, 0.24243682797026375, 0.15943494360165103, 0.05975110883878517, 0.1031467488265016, 0.27389677659190004, 0.13416842269994642, 0.13471977569945698, -0.27767328924054036, -0.022152772794167202, -0.005219442472941633] |
711.0981 | From RHIC to LHC | Measurements of the nuclear modification factor of inclusive yields of
$\pi^0$, $p\bar{p}$, non-phtonic electrons and prompt photon measured at RHIC
are reviewed. Some of the difficulties arising from interpretation of these
measurements such as similarity of the suppression pattern of light and heavy
quarks, quarks and gluons, light quarks and prompt photon are discussed. The
potential of two-particle and promt photon correlation technique to unravel
some of these open questions is presented. An emphasis is given to the
influence of partonic transverse momentum on the prompt-photon correlations.
The smearing between the trigger photon and back-to-back jet at LHC energy is
discussed.
| hep-ex | measurements of the nuclear modification factor of inclusive yields of pi0 pbarp nonphtonic electrons and prompt photon measured at rhic are reviewed some of the difficulties arising from interpretation of these measurements such as similarity of the suppression pattern of light and heavy quarks quarks and gluons light quarks and prompt photon are discussed the potential of twoparticle and promt photon correlation technique to unravel some of these open questions is presented an emphasis is given to the influence of partonic transverse momentum on the promptphoton correlations the smearing between the trigger photon and backtoback jet at lhc energy is discussed | [['measurements', 'of', 'the', 'nuclear', 'modification', 'factor', 'of', 'inclusive', 'yields', 'of', 'pi0', 'pbarp', 'nonphtonic', 'electrons', 'and', 'prompt', 'photon', 'measured', 'at', 'rhic', 'are', 'reviewed', 'some', 'of', 'the', 'difficulties', 'arising', 'from', 'interpretation', 'of', 'these', 'measurements', 'such', 'as', 'similarity', 'of', 'the', 'suppression', 'pattern', 'of', 'light', 'and', 'heavy', 'quarks', 'quarks', 'and', 'gluons', 'light', 'quarks', 'and', 'prompt', 'photon', 'are', 'discussed', 'the', 'potential', 'of', 'twoparticle', 'and', 'promt', 'photon', 'correlation', 'technique', 'to', 'unravel', 'some', 'of', 'these', 'open', 'questions', 'is', 'presented', 'an', 'emphasis', 'is', 'given', 'to', 'the', 'influence', 'of', 'partonic', 'transverse', 'momentum', 'on', 'the', 'promptphoton', 'correlations', 'the', 'smearing', 'between', 'the', 'trigger', 'photon', 'and', 'backtoback', 'jet', 'at', 'lhc', 'energy', 'is', 'discussed']] | [-0.06008692274770859, 0.2796651156811159, -0.1425725820361439, 0.17591932511799074, -0.03085336646046301, -0.1060099703556096, -0.0036080635218608257, 0.3816391699524088, -0.20746143102984538, -0.281813051664468, -0.06787867209112103, -0.4037451675406309, 0.06753761820833791, 0.17262666838036644, 0.06636566217668881, 0.11319683794157975, 0.11698219531940089, -0.01845278241906804, -0.0637105000111265, -0.18171481588723684, 0.34905103568429824, 0.08207574831039617, 0.22005563895359184, 0.24835121107635774, 0.11099872182151585, 0.08303162967080646, -0.13021576768633994, -0.06965297781815281, -0.06317081313222797, 0.040154226105472056, 0.22718705767483421, 0.052872085779190364, 0.10937754151147068, -0.36697779530000807, -0.10698821924325794, 0.0865110523829406, 0.11629252420794783, 0.06827298864825732, -0.07193990912161428, -0.27290616839221027, 0.059473097216187404, -0.18978010879998858, -0.14320349238455446, -0.04698439439137777, -0.03336817670538269, 0.02238050147401865, -0.25744678768696205, 0.10481379336367051, -0.008198420921660433, 0.03951225581701205, 0.029996817799830676, -0.16958919858014343, -0.06342034844324143, 0.019020353368662223, 0.14062046849361687, 0.10773962267646284, 0.18938291248761946, -0.20737844222046511, -0.19159636819074308, 0.396995919841257, 0.03440570727818542, -0.13444236361167647, 0.15188520656183663, -0.21028943455806284, -0.10513307511655971, 0.16037097072812043, 0.23194727225398476, 0.048668001054061785, -0.17788024636154826, 0.01386364375010622, -0.0036599213313875775, 0.14363665928043462, 0.10075324738746265, 0.18270215156930264, 0.19017620217008047, 0.18151663181564837, -0.05455492818822162, 0.08314271270170469, -0.12998606882415562, -0.0697783810613357, -0.4112041329758035, -0.09952462516311142, -0.11370133486284752, 0.06143135175748606, -0.08332412799901442, -0.07622687984257936, 0.4250962490008937, 0.05029819655053393, 0.25718561622003716, -0.08661339894605029, 0.3118836819523513, 0.12070195705364128, 0.016375529245859145, 0.06342292078911807, 0.32350673239896865, 0.19658700183899414, 0.16378205194787093, -0.30382117881402, 0.028665293657192677, 0.03119093452514422] |
711.0982 | First exit times for L\'evy-driven diffusions with exponentially light
jumps | We consider a dynamical system described by the differential equation
$\dot{Y}_t=-U'(Y_t)$ with a unique stable point at the origin. We perturb the
system by the L\'evy noise of intensity $\varepsilon$ to obtain the stochastic
differential equation $dX^{\varepsilon}_t=-U'(X^{\varepsilon}_{t-})
dt+\varepsilon dL_t.$ The process $L$ is a symmetric L\'evy process whose jump
measure $\nu$ has exponentially light tails,
$\nu([u,\infty))\sim\exp(-u^{\alpha})$, $\alpha>0$, $u\to \infty$. We study the
first exit problem for the trajectories of the solutions of the stochastic
differential equation from the interval $(-1,1)$. In the small noise limit
$\varepsilon\to0$, the law of the first exit time $\sigma_x$, $x\in(-1,1)$, has
exponential tail and the mean value exhibiting an intriguing phase transition
at the critical index $\alpha=1$, namely,
$\ln\mathbf{E}\sigma\sim\varepsilon^{-\alpha}$ for $0<\alpha<1$, whereas
$\ln\mathbf{E}\sigma\sim\varepsilon^{- 1}|\ln\varepsilon|^{1-{1}/{\alpha}}$ for
$\alpha>1$.
| math.PR | we consider a dynamical system described by the differential equation doty_tuy_t with a unique stable point at the origin we perturb the system by the levy noise of intensity varepsilon to obtain the stochastic differential equation dxvarepsilon_tuxvarepsilon_t dtvarepsilon dl_t the process l is a symmetric levy process whose jump measure nu has exponentially light tails nuuinftysimexpualpha alpha0 uto infty we study the first exit problem for the trajectories of the solutions of the stochastic differential equation from the interval 11 in the small noise limit varepsilonto0 the law of the first exit time sigma_x xin11 has exponential tail and the mean value exhibiting an intriguing phase transition at the critical index alpha1 namely lnmathbfesigmasimvarepsilonalpha for 0alpha1 whereas lnmathbfesigmasimvarepsilon 1lnvarepsilon11alpha for alpha1 | [['we', 'consider', 'a', 'dynamical', 'system', 'described', 'by', 'the', 'differential', 'equation', 'doty_tuy_t', 'with', 'a', 'unique', 'stable', 'point', 'at', 'the', 'origin', 'we', 'perturb', 'the', 'system', 'by', 'the', 'levy', 'noise', 'of', 'intensity', 'varepsilon', 'to', 'obtain', 'the', 'stochastic', 'differential', 'equation', 'dxvarepsilon_tuxvarepsilon_t', 'dtvarepsilon', 'dl_t', 'the', 'process', 'l', 'is', 'a', 'symmetric', 'levy', 'process', 'whose', 'jump', 'measure', 'nu', 'has', 'exponentially', 'light', 'tails', 'nuuinftysimexpualpha', 'alpha0', 'uto', 'infty', 'we', 'study', 'the', 'first', 'exit', 'problem', 'for', 'the', 'trajectories', 'of', 'the', 'solutions', 'of', 'the', 'stochastic', 'differential', 'equation', 'from', 'the', 'interval', '11', 'in', 'the', 'small', 'noise', 'limit', 'varepsilonto0', 'the', 'law', 'of', 'the', 'first', 'exit', 'time', 'sigma_x', 'xin11', 'has', 'exponential', 'tail', 'and', 'the', 'mean', 'value', 'exhibiting', 'an', 'intriguing', 'phase', 'transition', 'at', 'the', 'critical', 'index', 'alpha1', 'namely', 'lnmathbfesigmasimvarepsilonalpha', 'for', '0alpha1', 'whereas', 'lnmathbfesigmasimvarepsilon', '1lnvarepsilon11alpha', 'for', 'alpha1']] | [-0.14651307803905456, 0.1355219448625831, -0.11250790076436508, 0.06546602681858833, -0.003977771987321607, -0.17952818222642108, 0.04785140244425029, 0.2991485363362651, -0.32031579755181283, -0.21724667427897976, 0.12468013287319704, -0.33857486880662147, -0.10921914516866468, 0.14085188478623567, -0.025801125632010792, 0.10147884704597425, -0.030099944918204034, 0.06779350731787354, -0.018782289738546273, -0.14757182374147274, 0.3347950059054583, 0.002374022480165749, 0.20008889492601156, -0.04646054422584967, 0.16180170452418297, -0.032830351313653715, -0.002232243748087632, -0.044002922100684884, -0.22633598000423885, -0.010134685189226283, 0.163493647577094, 0.001901927177402142, 0.29220281123069297, -0.3274078352229768, -0.18167941138483257, 0.15606438574634426, 0.13609289717115053, 0.04379265912984122, -0.02302789645628971, -0.30796634210600404, 0.06528787164368846, -0.11215646540250945, -0.2387365423175588, -0.0001305862525968175, 0.10827731501245708, 0.058806187896008943, -0.3040191272289999, 0.1311404105978446, 0.11278601318649874, -0.015252182770749195, -0.048729091629451306, -0.11481721044248461, 0.001332207844314868, 0.09396444647082765, 0.06052603909649821, 0.0007047009258122559, 0.11210441204980669, -0.10760496576774146, -0.07762412994021647, 0.31858414264698104, -0.15563649325447745, -0.19490387282546676, 0.07846437044147599, -0.23377973006286643, -0.11415756709890015, 0.2049342323617454, 0.1376935014370502, 0.12755899303399992, -0.1446093289863743, 0.17421750238185937, 0.021433345324016716, 0.14466723987220975, 0.0792418397460623, -0.007263695545445539, 0.12416881285281035, 0.15951423319730615, 0.13642388365533725, 0.14194489286787676, -0.07976117702364399, -0.15903719884686565, -0.34067814055372747, -0.14820333170345085, -0.17466629963989058, 0.12190090589993224, -0.15894065759328027, -0.18468267878256084, 0.32828639975438517, 0.08082456554269843, 0.21403534828048004, 0.10855841619501773, 0.21693268223469586, 0.26977573990364345, -0.08154269930265289, 0.06501250833459556, 0.17269192980765774, 0.12459029556913792, 0.1753772014972607, -0.22797702026959119, 0.090192579582595, 0.06114108615816293] |
711.0983 | Positivity in the cohomology of flag bundles (after Graham) | We give a short, geometric proof of Graham's theorem on positivity in the
equivariant cohomology of a flag variety, based on a transversality argument.
| math.AG | we give a short geometric proof of grahams theorem on positivity in the equivariant cohomology of a flag variety based on a transversality argument | [['we', 'give', 'a', 'short', 'geometric', 'proof', 'of', 'grahams', 'theorem', 'on', 'positivity', 'in', 'the', 'equivariant', 'cohomology', 'of', 'a', 'flag', 'variety', 'based', 'on', 'a', 'transversality', 'argument']] | [-0.2613316879142076, -0.06883123815835764, -0.2567398613318801, 0.11872662759075563, -0.1498060659505427, -0.1406528142009241, 0.05280194043492278, 0.23071817766564587, -0.2614536260565122, -0.20883795960495868, 0.1472674702090444, -0.09488807246088982, -0.16628857236355543, 0.2614759351708926, -0.2738761273600782, -0.024867613334208727, 0.10228505528842409, 0.05758071318268776, -0.10695736622437835, -0.2660840829812514, 0.44792512990534306, -0.11341651482507586, 0.24742291510726014, 0.24271829469459286, 0.1860190307876716, 0.09681225321643676, -0.06075731501914561, -0.08516628667712212, -0.2065048665002299, 0.19109839922748506, 0.23011552795166304, 0.07700888203301777, 0.2129645897075534, -0.37973644273976487, -0.0512779270648025, 0.13231171283405274, 0.02965491367892052, 0.09788715156416099, -0.03308875910200489, -0.31278206252803403, 0.10870540972488622, -0.13912940541437516, -0.18694750809421143, -0.11380196366614352, 0.019778527358236413, 0.06305346180063982, -0.18606570611397424, 0.0009932633644590776, 0.19210700977904102, 0.21337576874066144, -0.056290368006254234, -0.05420793080702424, -0.011125056849171719, -0.04719910956919193, -0.03237769232752422, 0.025676161574665457, 0.1195310906235439, -0.02103671641089022, -0.15902387257665396, 0.3466701166083415, -0.08151331986300647, -0.2546916877230008, 0.10150442576074663, -0.05420737278958162, -0.2710602007185419, 0.11457905545830727, 0.09936122666113079, 0.22129419849564633, 0.06405890069436282, 0.14380148751661181, -0.16515762355023375, 0.030244050237039726, 0.1304379471888145, 0.0450413038682503, 0.10162482329178602, 0.09094448123748104, 0.1113704985473305, 0.1326639886635045, 0.03181935041599596, -0.09092526184394956, -0.4445148768524329, -0.21058620139956474, -0.18111895048059523, 0.3007459541161855, -0.17823461000807583, -0.2445055047671, 0.43079113339384395, 0.06209693152535086, 0.19606589056396237, 0.2167094002070371, 0.28143864482020337, 0.04199686555269485, 0.005780696771883716, -0.07209089025855064, 0.1358380737559249, 0.30848834741239745, 0.037769147156116865, -0.06069219298660755, 0.0021204292230928936, 0.38389398898774135] |
711.0984 | Secular Evolution of Planetary Systems in Binaries | The orbital eccentricity of a single planet around a component of a stellar
binary system with a sufficiently large mutual inclination angle is known to
oscillate on a secular timescale through the Kozai mechanism. We have
investigated the effects of the Kozai mechanism on double-planet systems in
binaries. The evolutionary sequence of a pair of planets under the influence of
a binary companion is fairly complex. Various dynamical outcomes are seen in
numerical simulations. One interesting outcome is the rigid rotation of the
planetary orbits in which the planetary orbital planes secularly precess in
concert, while the orbital eccentricities oscillate synchronously. In such
cases the outer planet acts as a propagator of the perturbation from the binary
companion to the inner planet and drives the inner planetary orbit to precess
at a rate faster than what is predicted by the Kozai mechanism.
| astro-ph | the orbital eccentricity of a single planet around a component of a stellar binary system with a sufficiently large mutual inclination angle is known to oscillate on a secular timescale through the kozai mechanism we have investigated the effects of the kozai mechanism on doubleplanet systems in binaries the evolutionary sequence of a pair of planets under the influence of a binary companion is fairly complex various dynamical outcomes are seen in numerical simulations one interesting outcome is the rigid rotation of the planetary orbits in which the planetary orbital planes secularly precess in concert while the orbital eccentricities oscillate synchronously in such cases the outer planet acts as a propagator of the perturbation from the binary companion to the inner planet and drives the inner planetary orbit to precess at a rate faster than what is predicted by the kozai mechanism | [['the', 'orbital', 'eccentricity', 'of', 'a', 'single', 'planet', 'around', 'a', 'component', 'of', 'a', 'stellar', 'binary', 'system', 'with', 'a', 'sufficiently', 'large', 'mutual', 'inclination', 'angle', 'is', 'known', 'to', 'oscillate', 'on', 'a', 'secular', 'timescale', 'through', 'the', 'kozai', 'mechanism', 'we', 'have', 'investigated', 'the', 'effects', 'of', 'the', 'kozai', 'mechanism', 'on', 'doubleplanet', 'systems', 'in', 'binaries', 'the', 'evolutionary', 'sequence', 'of', 'a', 'pair', 'of', 'planets', 'under', 'the', 'influence', 'of', 'a', 'binary', 'companion', 'is', 'fairly', 'complex', 'various', 'dynamical', 'outcomes', 'are', 'seen', 'in', 'numerical', 'simulations', 'one', 'interesting', 'outcome', 'is', 'the', 'rigid', 'rotation', 'of', 'the', 'planetary', 'orbits', 'in', 'which', 'the', 'planetary', 'orbital', 'planes', 'secularly', 'precess', 'in', 'concert', 'while', 'the', 'orbital', 'eccentricities', 'oscillate', 'synchronously', 'in', 'such', 'cases', 'the', 'outer', 'planet', 'acts', 'as', 'a', 'propagator', 'of', 'the', 'perturbation', 'from', 'the', 'binary', 'companion', 'to', 'the', 'inner', 'planet', 'and', 'drives', 'the', 'inner', 'planetary', 'orbit', 'to', 'precess', 'at', 'a', 'rate', 'faster', 'than', 'what', 'is', 'predicted', 'by', 'the', 'kozai', 'mechanism']] | [-0.24937930869751831, 0.17499174028602232, -0.1036954193468645, 0.0848860781103648, -0.1191245766018819, -0.06503558429827073, 0.05528400579719922, 0.3326328339212587, -0.24437786888619753, -0.2752849304996116, 0.06324354243468047, -0.22746294987401072, -0.12800734106477507, 0.22397476823633194, -0.07553893381821543, 0.027573241711213763, 0.1653427714678708, 0.02586985042590884, -0.03500106046304212, -0.2466435462866031, 0.294339284773024, 0.06995720773095816, -0.018725857833846355, -0.09269117048989102, 0.06158456846769952, 0.010342740553798494, 0.05935036701242059, -0.08519059906681743, -0.15284682535172872, 0.015071920440597852, 0.1914986606661073, 0.08026917776565107, 0.2499453197954826, -0.38415956680177593, -0.17210489933690118, 0.0183242802208119, 0.16080269602317573, 0.10138795059092316, -0.050172134978093315, -0.22684201522005565, 0.07325776274607872, -0.26542312081683506, -0.187589594651617, 0.05327381318251432, 0.11875004936534335, 0.016796343772537664, -0.29284369234695806, 0.0800005067861311, 0.15621947410453313, 0.10334427445523546, -0.12217802294320099, -0.08705018494445436, -0.12444345314386891, 0.08334924438460009, 0.09817910738105715, 0.05432274000076446, 0.2065082939477858, -0.05541164351587879, -0.06480358449519205, 0.4042632602496256, -0.06527208682925614, -0.1451239616505172, 0.2573688647014574, -0.23814280128801688, -0.06094972984816118, 0.14837538166640615, 0.2259685913769817, 0.16713489658973166, -0.1272171735861929, 0.0023663171077586555, -0.009249860438859274, 0.1935846249156461, 0.10944424218393232, 0.025354404281988794, 0.44174111209822897, 0.13274919817020828, 0.07022470430041414, 0.08480090584317354, -0.1664427330251783, -0.15603688815739794, -0.13622547859739198, -0.06848718006406504, -0.1409775222492614, 0.03813930924712929, -0.10016858063850956, -0.14183043223202332, 0.36921833445068813, 0.10669658554416202, 0.24202872595330044, -0.02125986851833787, 0.31865402943664556, 0.08238149480156365, 0.10163460475307377, 0.07605583298111886, 0.3665250771954446, 0.14472612938155013, 0.061106292412839304, -0.3186190151781644, 0.13133563960469524, 0.023347538994284163] |
711.0985 | Associated production of the scalars and new gauge bosons from a little
Higgs model at the LHC | The littlest Higgs model with T-parity ($LHT$ model) predicts the existence
of the T-odd scalars ($\phi^{\pm}$, $\phi^{0}$, and $\phi^{p}$). We consider
production of these new particles associated with T-odd gauge bosons at the
$LHC$. We find that the partonic process $q\bar{q'}\to\phi^{+}B_{H}$ can
generate a number of the characteristic signal events with a charged lepton and
large missing energy at the $LHC$.
| hep-ph | the littlest higgs model with tparity lht model predicts the existence of the todd scalars phipm phi0 and phip we consider production of these new particles associated with todd gauge bosons at the lhc we find that the partonic process qbarqtophib_h can generate a number of the characteristic signal events with a charged lepton and large missing energy at the lhc | [['the', 'littlest', 'higgs', 'model', 'with', 'tparity', 'lht', 'model', 'predicts', 'the', 'existence', 'of', 'the', 'todd', 'scalars', 'phipm', 'phi0', 'and', 'phip', 'we', 'consider', 'production', 'of', 'these', 'new', 'particles', 'associated', 'with', 'todd', 'gauge', 'bosons', 'at', 'the', 'lhc', 'we', 'find', 'that', 'the', 'partonic', 'process', 'qbarqtophib_h', 'can', 'generate', 'a', 'number', 'of', 'the', 'characteristic', 'signal', 'events', 'with', 'a', 'charged', 'lepton', 'and', 'large', 'missing', 'energy', 'at', 'the', 'lhc']] | [-0.1076730335674559, 0.3337497558367128, -0.06304519189676891, 0.20534997845258354, -0.07636302174068987, -0.2459763517913719, -0.05390754422793786, 0.2568232440389693, -0.2149869589212661, -0.26041407737260064, -0.06857918912622457, -0.34295260679597656, -0.0026755827789505322, 0.06466783590149135, 0.08914524608602127, 0.09016529658498863, 0.09203687869400407, -0.005070844486666223, -0.0011661917553283275, -0.25746237570807956, 0.31320555181397747, 0.019014726028156778, 0.1381705338989074, 0.12399602911900728, 0.1240805444928507, 0.05923927641706541, -0.0007818911331317698, -0.10904570678249001, -0.10374033791461747, 0.05907198690498869, 0.15757992699121434, 0.022760231994713345, 0.0519819381646812, -0.3149475798010826, -0.0925162984834363, 0.2686848336132243, 0.10860751507182916, 0.09500031320300574, -0.0977264292848607, -0.3190149313149353, 0.132634041896866, -0.2641191336636742, -0.10782491216474833, -0.05292588942684233, -0.07591023820762834, -0.0775498801774423, -0.3863356336019933, 0.09039821346135189, -0.06932584174598257, 0.01836600311798975, 0.033940214636580396, -0.18394701099799324, -0.15624122687149794, -0.08080251045369853, 0.2061357872109511, 0.02483692562673241, 0.17025754729596276, -0.2723085881084747, -0.2579863614713152, 0.37087739358345667, -0.11845100798333684, -0.18436779932041342, 0.19451487202507753, -0.21718611405231059, -0.20202075458752614, 0.1450057374003033, 0.29310987374434866, 0.027622366199890773, -0.13797177380571762, 0.20365907346325304, -0.0698216587305069, 0.11966545114216084, 0.025095065784019727, 0.04231847970901678, 0.26666469376068563, 0.189795343298465, 0.010197653885309894, 0.10135930487886072, -0.11526409846361882, -0.04436991014517844, -0.5174282337228457, -0.17102961850663026, -0.0554649884851339, 0.045165410183835776, -0.07768041146870625, -0.10288428807010254, 0.45099212443456055, 0.1216225382561485, 0.30540954185028873, 0.07951763392581294, 0.23640240399787824, 0.09262064811773599, 0.08504973105931034, 0.018928147107362746, 0.26783737301205596, 0.09903974551707506, 0.16657103446001809, -0.22825264912098647, 0.022715072031132877, 0.09048853955852489] |
711.0986 | Constructing processes with prescribed mixing coefficients | The rate at which dependencies between future and past observations decay in
a random process may be quantified in terms of mixing coefficients. The latter
in turn appear in strong laws of large numbers and concentration of measure
results for dependent random variables. Questions regarding what rates are
possible for various notions of mixing have been posed since the 1960's, and
have important implications for some open problems in the theory of strong
mixing conditions.
This paper deals with $\eta$-mixing, a notion defined in [Kontorovich and
Ramanan], which is closely related to $\phi$-mixing. We show that there exist
measures on finite sequences with essentially arbitrary $\eta$-mixing
coefficients, as well as processes with arbitrarily slow mixing rates.
| math.PR math.FA | the rate at which dependencies between future and past observations decay in a random process may be quantified in terms of mixing coefficients the latter in turn appear in strong laws of large numbers and concentration of measure results for dependent random variables questions regarding what rates are possible for various notions of mixing have been posed since the 1960s and have important implications for some open problems in the theory of strong mixing conditions this paper deals with etamixing a notion defined in kontorovich and ramanan which is closely related to phimixing we show that there exist measures on finite sequences with essentially arbitrary etamixing coefficients as well as processes with arbitrarily slow mixing rates | [['the', 'rate', 'at', 'which', 'dependencies', 'between', 'future', 'and', 'past', 'observations', 'decay', 'in', 'a', 'random', 'process', 'may', 'be', 'quantified', 'in', 'terms', 'of', 'mixing', 'coefficients', 'the', 'latter', 'in', 'turn', 'appear', 'in', 'strong', 'laws', 'of', 'large', 'numbers', 'and', 'concentration', 'of', 'measure', 'results', 'for', 'dependent', 'random', 'variables', 'questions', 'regarding', 'what', 'rates', 'are', 'possible', 'for', 'various', 'notions', 'of', 'mixing', 'have', 'been', 'posed', 'since', 'the', '1960s', 'and', 'have', 'important', 'implications', 'for', 'some', 'open', 'problems', 'in', 'the', 'theory', 'of', 'strong', 'mixing', 'conditions', 'this', 'paper', 'deals', 'with', 'etamixing', 'a', 'notion', 'defined', 'in', 'kontorovich', 'and', 'ramanan', 'which', 'is', 'closely', 'related', 'to', 'phimixing', 'we', 'show', 'that', 'there', 'exist', 'measures', 'on', 'finite', 'sequences', 'with', 'essentially', 'arbitrary', 'etamixing', 'coefficients', 'as', 'well', 'as', 'processes', 'with', 'arbitrarily', 'slow', 'mixing', 'rates']] | [-0.11263783843452602, 0.21050759835838617, -0.05137624803676756, 0.09525705382017341, -0.01811809210196595, -0.13436376190286847, 0.03053782795956195, 0.34920708266936507, -0.30014615260644634, -0.28206635730978297, 0.15372451718716898, -0.24054819454332782, -0.1445639373514017, 0.23103486320101901, -0.08033164350873497, 0.08660430139290136, 0.040487288303362824, 0.008917337072975977, -0.046187663212389964, -0.25621300771946837, 0.3192648796340157, 0.044862957785657624, 0.25072915106194843, 0.10065609380488463, 0.08405441218954429, -0.027128220970840437, -0.08068694011716727, 0.038174457276207316, -0.1482525476124449, 0.07858456874658402, 0.25668724047902386, 0.11222343126581491, 0.2701678083180205, -0.3970966388945255, -0.21604651333600805, 0.12470285753360051, 0.13281782034666098, 0.06392897510918454, -0.044098341009342686, -0.24911263964972213, 0.07582782380734243, -0.1238950121281832, -0.13184779496013857, -0.058262817038778676, 0.0652776388696542, 0.0819013430655264, -0.3000947243223588, 0.10396655397734751, 0.08042007573704611, 0.06492549047055818, -0.029939519833740696, -0.11190951832063627, 0.028798900915334297, 0.14525836249844074, 0.1259189305902079, -0.004097116970163035, 0.044398789551403174, -0.12510173702142774, -0.14154431962391786, 0.35135824362371576, -0.07978777694025714, -0.22482805840442316, 0.21932195278860858, -0.17497833191801124, -0.17959421071256593, 0.0766039132998374, 0.18146882869156175, 0.12286053515415181, -0.1312800873593803, 0.09387446844974827, -0.06078044866750899, 0.09944464705308508, 0.12355817224127813, 0.10744484198247001, 0.17877338718818991, 0.0845359948284009, 0.059526873119338825, 0.09791920035199278, 0.016872737636348528, -0.14519412256011396, -0.2846641494124605, -0.1236813025591944, -0.1185262057411468, 0.055524740053602216, -0.070345272950873, -0.16573054534423964, 0.3236901560071202, 0.1294387511821186, 0.2511322134288779, 0.04023642445661193, 0.19656199765832802, 0.13182322504693283, 0.037964757930144276, 0.03886430819208423, 0.20467769948223385, 0.19771035571108786, 0.08422397617700003, -0.1647015044607606, 0.15374211428979037, 0.045706929124303554] |
711.0987 | Obtaining Measure Concentration from Markov Contraction | Concentration bounds for non-product, non-Haar measures are fairly recent:
the first such result was obtained for contracting Markov chains by Marton in
1996 via the coupling method. The work that followed, with few exceptions, also
used coupling. Although this technique is of unquestionable utility as a
theoretical tool, it is not always simple to apply. As an alternative to
coupling, we use the elementary Markov contraction lemma to obtain simple,
useful, and apparently novel concentration results for various Markov-type
processes. Our technique consists of expressing probabilities as matrix
products and applying Markov contraction to these expressions; thus it is
fairly general and holds the potential to yield further results in this vein.
| math.PR math.FA | concentration bounds for nonproduct nonhaar measures are fairly recent the first such result was obtained for contracting markov chains by marton in 1996 via the coupling method the work that followed with few exceptions also used coupling although this technique is of unquestionable utility as a theoretical tool it is not always simple to apply as an alternative to coupling we use the elementary markov contraction lemma to obtain simple useful and apparently novel concentration results for various markovtype processes our technique consists of expressing probabilities as matrix products and applying markov contraction to these expressions thus it is fairly general and holds the potential to yield further results in this vein | [['concentration', 'bounds', 'for', 'nonproduct', 'nonhaar', 'measures', 'are', 'fairly', 'recent', 'the', 'first', 'such', 'result', 'was', 'obtained', 'for', 'contracting', 'markov', 'chains', 'by', 'marton', 'in', '1996', 'via', 'the', 'coupling', 'method', 'the', 'work', 'that', 'followed', 'with', 'few', 'exceptions', 'also', 'used', 'coupling', 'although', 'this', 'technique', 'is', 'of', 'unquestionable', 'utility', 'as', 'a', 'theoretical', 'tool', 'it', 'is', 'not', 'always', 'simple', 'to', 'apply', 'as', 'an', 'alternative', 'to', 'coupling', 'we', 'use', 'the', 'elementary', 'markov', 'contraction', 'lemma', 'to', 'obtain', 'simple', 'useful', 'and', 'apparently', 'novel', 'concentration', 'results', 'for', 'various', 'markovtype', 'processes', 'our', 'technique', 'consists', 'of', 'expressing', 'probabilities', 'as', 'matrix', 'products', 'and', 'applying', 'markov', 'contraction', 'to', 'these', 'expressions', 'thus', 'it', 'is', 'fairly', 'general', 'and', 'holds', 'the', 'potential', 'to', 'yield', 'further', 'results', 'in', 'this', 'vein']] | [-0.03606560165644623, 0.10311217844420233, -0.102829611802008, 0.08214016038462953, -0.08513749181292951, -0.153680949068595, 0.0703489380726491, 0.40126395350255606, -0.28053598124617046, -0.27317110674006734, 0.12332956429911844, -0.20227015211587837, -0.172548465474912, 0.26095679053729065, -0.06882494472249943, 0.06220507635069745, 0.04697030601424298, 0.021440074088916714, -0.025824880005010136, -0.23928409951310772, 0.2950927924435486, 0.0779839217328637, 0.26518030049919616, 0.09058900382037141, 0.06079488073693743, 0.034374020399159884, -0.004254405120653766, 0.016478662819801166, -0.14195490424994464, 0.13077133183469414, 0.26314293225628455, 0.16034612080381652, 0.24618330579583667, -0.3813371335522139, -0.1968016102242213, 0.09196922504010477, 0.1276927193643392, 0.14707030394181078, -0.08870759607504754, -0.2643330310363256, 0.06557095705232184, -0.1940949338001831, -0.13659576662965783, -0.1441838902724807, -0.0010386406751682184, 0.014926596877298184, -0.32221036092128735, 0.08544593273394899, 0.1193110205884815, 0.02147947857987934, -0.01656393480620214, -0.11520179227954941, 0.031520272838991205, 0.1329416160504999, 0.0677917383332637, 0.0166450214247951, 0.09939756394513617, -0.025782265467569232, -0.11807720993653804, 0.3182229697787469, -0.10107034495740663, -0.1987952863481561, 0.2222722213565638, -0.0631163015828601, -0.20933022310574806, 0.10167791485270884, 0.10276348937934797, 0.14690488069442967, -0.18982071781231621, 0.057981008375333785, -0.045254577412768934, 0.10343787755534452, 0.07728582354112794, 0.013621491796324594, 0.11828009073464532, 0.13148893756650587, 0.08314872846157025, 0.15951807573687152, -0.001141512654222814, -0.11756411626161675, -0.2976348947766902, -0.1700337659962575, -0.18768348637552532, 0.052344595173703316, -0.09508945828318767, -0.15227927701510321, 0.33659367901522536, 0.14067804824195004, 0.2063143075044666, 0.12361336314851153, 0.25971660676545333, 0.1279481403783263, 0.042757961533165405, 0.025706267462477887, 0.2178280552626737, 0.21490782816337223, 0.06358495693088376, -0.11189934389299847, 0.10407008845296721, 0.10201101533727654] |
711.0988 | A Search for New Galactic Magnetars in Archival Chandra and XMM-Newton
Observations | We present constraints on the number of Galactic magnetars, which we have
established by searching for sources with periodic variability in 506 archival
Chandra observations and 441 archival XMM-Newton observations of the Galactic
plane (|b|<5 degree). Our search revealed four sources with periodic
variability on time scales of 200-5000 s, all of which are probably accreting
white dwarfs. We identify 7 of 12 known Galactic magnetars, but find no new
examples with periods between 5 and 20 s. We convert this non-detection into
limits on the total number of Galactic magnetars by computing the fraction of
the young Galactic stellar population that was included in our survey. We find
that easily-detectable magnetars, modeled after persistent anomalous X-ray
pulsars, could have been identified in 5% of the Galactic spiral arms by mass.
If we assume there are 3 previously-known examples within our random survey,
then there are 59 (+92,-32) in the Galaxy. Transient magnetars in quiescence
could have been identified throughout 0.4% of the spiral arms, and the lack of
new examples implies that <540 exist in the Galaxy (90% confidence). Similar
constraints are found by considering the detectability of transient magnetars
in outburst by current and past X-ray missions. For assumed lifetimes of 1e4
yr, we find that the birth rate of magnetars could range between 0.003 and 0.06
per year. Therefore, the birth rate of magnetars is at least 10% of that for
normal radio pulsars. The magnetar birth rate could exceed that of radio
pulsars, unless the lifetimes of transient magnetars are >1e5 yr. Obtaining
better constraints will require wide-field X-ray or radio searches for
transient X-ray pulsars similar to XTE J1810--197, AX J1845.0--0250, CXOU
J164710.2--455216, and 1E 1547.0-5408.
| astro-ph | we present constraints on the number of galactic magnetars which we have established by searching for sources with periodic variability in 506 archival chandra observations and 441 archival xmmnewton observations of the galactic plane b5 degree our search revealed four sources with periodic variability on time scales of 2005000 s all of which are probably accreting white dwarfs we identify 7 of 12 known galactic magnetars but find no new examples with periods between 5 and 20 s we convert this nondetection into limits on the total number of galactic magnetars by computing the fraction of the young galactic stellar population that was included in our survey we find that easilydetectable magnetars modeled after persistent anomalous xray pulsars could have been identified in 5 of the galactic spiral arms by mass if we assume there are 3 previouslyknown examples within our random survey then there are 59 9232 in the galaxy transient magnetars in quiescence could have been identified throughout 04 of the spiral arms and the lack of new examples implies that 540 exist in the galaxy 90 confidence similar constraints are found by considering the detectability of transient magnetars in outburst by current and past xray missions for assumed lifetimes of 1e4 yr we find that the birth rate of magnetars could range between 0003 and 006 per year therefore the birth rate of magnetars is at least 10 of that for normal radio pulsars the magnetar birth rate could exceed that of radio pulsars unless the lifetimes of transient magnetars are 1e5 yr obtaining better constraints will require widefield xray or radio searches for transient xray pulsars similar to xte j1810197 ax j184500250 cxou j1647102455216 and 1e 154705408 | [['we', 'present', 'constraints', 'on', 'the', 'number', 'of', 'galactic', 'magnetars', 'which', 'we', 'have', 'established', 'by', 'searching', 'for', 'sources', 'with', 'periodic', 'variability', 'in', '506', 'archival', 'chandra', 'observations', 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711.0989 | Color Dependence in the Spatial Distribution of Satellite Galaxies | We explore the color dependence of the radial profile of satellite galaxies
around isolated parent galaxies. Samples of potential satellites selected from
large galaxy redshift surveys are significantly contaminated by interlopers --
objects not bound to the parent galaxy. We use the Sloan Digital Sky Survey to
estimate the interloper fraction in samples of candidate satellite galaxies. We
show that samples of red and blue satellites have different interloper
populations: a larger fraction of blue galaxies are likely to be interlopers
compared to red galaxies. Both with and without interloper subtraction, the
radial profile of blue satellites is significantly shallower than that of red
satellites. In addition, while red and blue primaries have different interloper
fractions, the slope of the corrected radial profiles are consistent after
interloper correction. We discuss the implications of these results for galaxy
formation models.
| astro-ph | we explore the color dependence of the radial profile of satellite galaxies around isolated parent galaxies samples of potential satellites selected from large galaxy redshift surveys are significantly contaminated by interlopers objects not bound to the parent galaxy we use the sloan digital sky survey to estimate the interloper fraction in samples of candidate satellite galaxies we show that samples of red and blue satellites have different interloper populations a larger fraction of blue galaxies are likely to be interlopers compared to red galaxies both with and without interloper subtraction the radial profile of blue satellites is significantly shallower than that of red satellites in addition while red and blue primaries have different interloper fractions the slope of the corrected radial profiles are consistent after interloper correction we discuss the implications of these results for galaxy formation models | [['we', 'explore', 'the', 'color', 'dependence', 'of', 'the', 'radial', 'profile', 'of', 'satellite', 'galaxies', 'around', 'isolated', 'parent', 'galaxies', 'samples', 'of', 'potential', 'satellites', 'selected', 'from', 'large', 'galaxy', 'redshift', 'surveys', 'are', 'significantly', 'contaminated', 'by', 'interlopers', 'objects', 'not', 'bound', 'to', 'the', 'parent', 'galaxy', 'we', 'use', 'the', 'sloan', 'digital', 'sky', 'survey', 'to', 'estimate', 'the', 'interloper', 'fraction', 'in', 'samples', 'of', 'candidate', 'satellite', 'galaxies', 'we', 'show', 'that', 'samples', 'of', 'red', 'and', 'blue', 'satellites', 'have', 'different', 'interloper', 'populations', 'a', 'larger', 'fraction', 'of', 'blue', 'galaxies', 'are', 'likely', 'to', 'be', 'interlopers', 'compared', 'to', 'red', 'galaxies', 'both', 'with', 'and', 'without', 'interloper', 'subtraction', 'the', 'radial', 'profile', 'of', 'blue', 'satellites', 'is', 'significantly', 'shallower', 'than', 'that', 'of', 'red', 'satellites', 'in', 'addition', 'while', 'red', 'and', 'blue', 'primaries', 'have', 'different', 'interloper', 'fractions', 'the', 'slope', 'of', 'the', 'corrected', 'radial', 'profiles', 'are', 'consistent', 'after', 'interloper', 'correction', 'we', 'discuss', 'the', 'implications', 'of', 'these', 'results', 'for', 'galaxy', 'formation', 'models']] | [-0.01495360834793984, 0.08802241334300218, -0.12539419163004967, 0.11016965597155977, -0.12433622113725953, -0.008799340525318099, 0.07407438395666363, 0.46979063819499983, -0.052092764351139034, -0.3689707430565487, 0.008974135298268411, -0.37558593005751784, -0.029542380085542285, 0.18249424122125452, -0.09692703854913513, -0.04449378256686032, 0.07723118411377072, -0.15698516324324452, -0.022301711979641856, -0.35552559169920406, 0.28791556389246514, 0.023666313039543835, 0.1653491875116268, -0.16430794401094317, 0.012615652815641268, -0.0812815011907504, -0.1427064377652562, 0.0025259542305940304, -0.1514336579970457, -0.009222450848344875, 0.22594235385245617, 0.1247096849416477, 0.24242401339005734, -0.3159949790780851, -0.16026266453369264, 0.14328246923042057, 0.2678973882904519, 0.09595222140669121, -0.14580311435882165, -0.30945516920284083, 0.13205416309748494, -0.17962727072122303, -0.22110272309172602, 0.08692707046461494, 0.03619954824967283, 0.07442998109964073, -0.1604284384950955, 0.20337992283664102, -0.005862862472354934, 0.10242805100911621, -0.11862136441556251, -0.16809731755621624, -0.1573421709826621, 0.07698190038976516, 0.018388470461038683, 0.04088815966320723, 0.2413532730947802, -0.19501055263833184, 0.03927871138464822, 0.4277748017018472, -0.056915594737802166, 0.04303043023210721, 0.1930231635890685, -0.2180024406373285, -0.17893400033126058, 0.11711435244786486, 0.175575787657062, 0.09165001942681661, -0.15104024675742223, -0.02978850706890428, 0.007403041494240903, 0.21501678619803727, 0.04755282480661096, 0.0858362569785601, 0.3329026563551979, 0.002123403464160536, 0.0965501137914649, 0.10774156601131098, -0.27791018034938886, 0.029031700766780345, -0.17374017182990667, -0.06521560136858118, -0.15177460259460993, 0.03352795349169553, -0.14712367659619, -0.11053655538842946, 0.34330864986269805, 0.10890127162692016, 0.266561297500722, 0.1125248698298347, 0.36251905387726385, 0.07895151015364335, 0.2042911132271199, 0.043653447938529585, 0.297680217448784, 0.13337146218332963, -0.012337071894485827, -0.21664385420297258, 0.05461480858249833, -0.05338581931520847] |
711.099 | A combinatorial formula for Earle's twisted 1-cocycle on the mapping
class group \mathcal{M}_{g,*} | We present a formula expressing Earle's twisted 1-cocycle on the mapping
class group of a closed oriented surface of genus >=2 relative to a fixed base
point, with coefficients in the first homology group of the surface. For this
purpose we compare it with Morita's twisted 1-cocycle which is combinatorial.
The key is the computation of these cocycles on a particular element of the
mapping class group, which is topologically a hyperelliptic involution.
| math.GT math.CV | we present a formula expressing earles twisted 1cocycle on the mapping class group of a closed oriented surface of genus 2 relative to a fixed base point with coefficients in the first homology group of the surface for this purpose we compare it with moritas twisted 1cocycle which is combinatorial the key is the computation of these cocycles on a particular element of the mapping class group which is topologically a hyperelliptic involution | [['we', 'present', 'a', 'formula', 'expressing', 'earles', 'twisted', '1cocycle', 'on', 'the', 'mapping', 'class', 'group', 'of', 'a', 'closed', 'oriented', 'surface', 'of', 'genus', '2', 'relative', 'to', 'a', 'fixed', 'base', 'point', 'with', 'coefficients', 'in', 'the', 'first', 'homology', 'group', 'of', 'the', 'surface', 'for', 'this', 'purpose', 'we', 'compare', 'it', 'with', 'moritas', 'twisted', '1cocycle', 'which', 'is', 'combinatorial', 'the', 'key', 'is', 'the', 'computation', 'of', 'these', 'cocycles', 'on', 'a', 'particular', 'element', 'of', 'the', 'mapping', 'class', 'group', 'which', 'is', 'topologically', 'a', 'hyperelliptic', 'involution']] | [-0.23396095147149432, 0.07546637080506319, -0.11478164927878727, 0.014941059806410016, -0.11373183509244376, -0.1353270602089146, 0.04143725516041741, 0.3638946953126126, -0.32204089872539043, -0.22935463547603124, 0.10978008461825084, -0.22146573453210294, -0.1878572023771186, 0.22198896313137892, -0.12350615249104319, 0.005943325800924665, 0.03648701753829502, 0.09766881265548161, -0.13983062486083023, -0.2003090129647818, 0.4398415273624576, -0.03813612607255992, 0.21816738609211622, 0.04703580841629042, 0.10596994547328602, -0.00021822775144957833, -0.03932229522615671, -0.010558559585155712, -0.13215426685443768, 0.19545630691573024, 0.2750013942002422, -0.007064862564827005, 0.1492961002772467, -0.3383918456836707, -0.1639999087072081, 0.14786473331817737, 0.06868473647369279, 0.03791857602320508, -0.05360980561171244, -0.22820484436427554, 0.12145233457623464, -0.19525116635486484, -0.14892142158674282, -0.027177000948641863, 0.06404229369945824, 0.004070483510278993, -0.21146627677242374, -0.04917717458576792, 0.04816155952206221, 0.14389655441563162, -0.039974800809027836, -0.07787150056618783, -0.05245528801525426, 0.1553103037424282, 0.0023142932946535032, 0.11321798405454804, 0.10622824195565449, -0.09383069728695166, -0.08969674598322147, 0.376864010888514, -0.09160589292231533, -0.24137161581570077, 0.1328849694174197, -0.15338314667072458, -0.2316322670214706, 0.13890104087638772, 0.09730518820773189, 0.2068609576801666, -0.046809858021636806, 0.15158851663970077, -0.15078466030212845, 0.11072002121242501, 0.03440733979611347, -0.0771005081737207, 0.16891557207175842, 0.10861444346179876, 0.11698674708087412, 0.16558890321498942, -0.038834537347106055, -0.050828308268036276, -0.37178043029012364, -0.2757554456539866, -0.1386475129208217, 0.1411645676707849, -0.10509370190427741, -0.21877223619311634, 0.4651671163220372, 0.05692923338048988, 0.16685359527926064, 0.13640792837638097, 0.22997413989570406, 0.10475053420911233, 0.07157012715470046, 0.05418578069010335, 0.07165695015444523, 0.19907242727155486, -0.06674381456105039, -0.16746051388327032, -0.01469154302160152, 0.26251415522872573] |
711.0991 | Low mass stellar evolution with WIMP capture and annihilation | Recent work has indicated that WIMP annihilation in stellar cores has the
potential to contribute significantly to a star's total energy production. We
report on progress in simulating the effects of WIMP capture and annihilation
upon stellar structure and evolution near supermassive black holes, using the
new DarkStars code. Preliminary results indicate that low-mass stars are the
most influenced by WIMP annihilation, which could have consequences for
upcoming observational programs.
| astro-ph hep-ph | recent work has indicated that wimp annihilation in stellar cores has the potential to contribute significantly to a stars total energy production we report on progress in simulating the effects of wimp capture and annihilation upon stellar structure and evolution near supermassive black holes using the new darkstars code preliminary results indicate that lowmass stars are the most influenced by wimp annihilation which could have consequences for upcoming observational programs | [['recent', 'work', 'has', 'indicated', 'that', 'wimp', 'annihilation', 'in', 'stellar', 'cores', 'has', 'the', 'potential', 'to', 'contribute', 'significantly', 'to', 'a', 'stars', 'total', 'energy', 'production', 'we', 'report', 'on', 'progress', 'in', 'simulating', 'the', 'effects', 'of', 'wimp', 'capture', 'and', 'annihilation', 'upon', 'stellar', 'structure', 'and', 'evolution', 'near', 'supermassive', 'black', 'holes', 'using', 'the', 'new', 'darkstars', 'code', 'preliminary', 'results', 'indicate', 'that', 'lowmass', 'stars', 'are', 'the', 'most', 'influenced', 'by', 'wimp', 'annihilation', 'which', 'could', 'have', 'consequences', 'for', 'upcoming', 'observational', 'programs']] | [-0.05700690769590437, 0.17102227230290218, -0.08554859211269233, 0.12271874193102121, -0.1350484102432217, -0.014814057350823922, 0.023870828401829514, 0.35508194472640753, -0.12278378671201479, -0.37052742540836336, 0.002777733583934605, -0.32068915814161303, -0.04518359282187053, 0.2762483979176198, 0.008133007413042443, 0.03832491978869906, 0.1436955505865626, -0.035139090354953495, -0.04136298565593149, -0.3094536788129647, 0.3561119881591627, 0.13563390871776002, 0.13961389163991303, 0.08439481923622745, 0.0049126487458124755, -0.04729617683416498, -0.09960334110323206, -0.05697057584932606, -0.1525231238997159, 0.05750247927914773, 0.21416671442067517, 0.1756925546896777, 0.14655173894882734, -0.4291193764124598, -0.2820976069330105, 0.10379993021155574, 0.21329070794662194, 0.09813394270271861, -0.19186420274532534, -0.3071349448923554, 0.08521547461028343, -0.24257921556543027, -0.09511672288312444, -0.02326647029923541, 0.05562543449258166, 0.012984291224607399, -0.1992598433155633, 0.09165495209329362, 0.02073713037451463, -0.039561543104770995, -0.1090289630195392, -0.15783306094152585, -0.04862766997622592, 0.025114580942317843, 0.07110843872318842, 0.03637519337769066, 0.2596854305293943, -0.1738167047101472, -0.12340606164320239, 0.3839411670342088, -0.09311022918139185, -0.053844671646532206, 0.21657934433647563, -0.20534965470433236, -0.21960535580957574, 0.1287038206788046, 0.23862489951508387, 0.12445767151990107, -0.15927745928804923, 0.08072160548763349, 0.010569481990699257, 0.17996708312005336, 0.0690815916617534, 0.05747523982343929, 0.39486758299171926, 0.21273104326267328, 0.021209858560801615, 0.035305062535917385, -0.15318548083637973, -0.06788723120199783, -0.23660040119263742, -0.1274278131180576, -0.08051517752132245, 0.04032302098348737, -0.040103671606214315, -0.07678439114908023, 0.31299513706139154, 0.15426925964919583, 0.19890633339860608, 0.00386480274776529, 0.2685940152460846, 0.07029891451820731, 0.10867004477685051, 0.10214093461898821, 0.3680748235966478, 0.15798598776371883, 0.10194488037044981, -0.26198067673082864, 0.11992319106024557, -0.010684272793254682] |
711.0992 | Photon-graviton mixing in an electromagnetic field | Einstein-Maxwell theory implies the mixing of photons with gravitons in an
external electromagnetic field. This process and its possible observable
consequences have been studied at tree level for many years. We use the
worldline formalism for obtaining an exact integral representation for the
one-loop corrections to this amplitude due to scalars and fermions. We study
the structure of this amplitude, and obtain exact expressions for various
limiting cases.
| hep-th astro-ph | einsteinmaxwell theory implies the mixing of photons with gravitons in an external electromagnetic field this process and its possible observable consequences have been studied at tree level for many years we use the worldline formalism for obtaining an exact integral representation for the oneloop corrections to this amplitude due to scalars and fermions we study the structure of this amplitude and obtain exact expressions for various limiting cases | [['einsteinmaxwell', 'theory', 'implies', 'the', 'mixing', 'of', 'photons', 'with', 'gravitons', 'in', 'an', 'external', 'electromagnetic', 'field', 'this', 'process', 'and', 'its', 'possible', 'observable', 'consequences', 'have', 'been', 'studied', 'at', 'tree', 'level', 'for', 'many', 'years', 'we', 'use', 'the', 'worldline', 'formalism', 'for', 'obtaining', 'an', 'exact', 'integral', 'representation', 'for', 'the', 'oneloop', 'corrections', 'to', 'this', 'amplitude', 'due', 'to', 'scalars', 'and', 'fermions', 'we', 'study', 'the', 'structure', 'of', 'this', 'amplitude', 'and', 'obtain', 'exact', 'expressions', 'for', 'various', 'limiting', 'cases']] | [-0.12910966926446074, 0.14968397371472641, -0.07765175715116236, 0.13828545591639554, -0.07099654322818798, -0.06359420635956614, 0.018455122109598425, 0.362708100638188, -0.18881025923388628, -0.2889029578415348, 0.06813491085674339, -0.24673505653353298, -0.15302813808461102, 0.17242979006293943, 0.027458165772259235, 0.049180557498509775, 0.04389678122585311, 0.0668809183202136, -0.06958460234026835, -0.21959550070973552, 0.31473806605208665, 0.068900076124598, 0.23060934129513472, 0.07089706381563754, 0.1437771956450032, 0.05477768025251434, -0.03316163834567894, -0.03949752726799381, -0.14690220257376924, 0.09700760313289185, 0.21372399034718162, 0.059690503862357754, 0.15783555265721483, -0.4375099797240075, -0.202299897925353, 0.12417364909539602, 0.17700677227078224, 0.20591756331679575, -0.02976330814828329, -0.2829707118764739, 0.05334470602546764, -0.2020149515284335, -0.20449829972623026, -0.1129217230293708, 0.06479587454711744, -0.10637998023851063, -0.27663485626159373, 0.04029912864515448, -0.004458968061953783, 0.03527038799160544, -0.04697959339554312, -0.10714086087639718, 0.03226487768081236, 0.12788879883694737, 0.14993389670160148, 0.011025904382062008, 0.08080050160231836, -0.21602058140492506, -0.13710183876237886, 0.34938998465590615, -0.0855957934879424, -0.20185310779796803, 0.14381453298333594, -0.1456003872102455, -0.17665462416377575, 0.14604804627186455, 0.14191977588223595, 0.13640048095326432, -0.19416790229682673, 0.19651614292267958, 0.013272926101789755, 0.09249665144392673, 0.13086926035911722, 0.09011243937044021, 0.22225126314579563, 0.0895995567278827, 0.0024668889690313816, 0.14939055526766049, -0.031191231943119097, -0.07543424651221893, -0.339189906440237, -0.15937045934531532, -0.10630175600047498, 0.06875591070103623, -0.10828672008510158, -0.19359562735018485, 0.374663272386362, 0.1890754536177744, 0.13713180599734187, 0.0868284238557167, 0.27909299512119856, 0.21382932277286754, 0.042800264433026314, 0.06619615714504, 0.26850586477667093, 0.19590530607520656, 0.08466804339139558, -0.21473293272805782, -0.03478741656427326, 0.07406074624946889] |
711.0993 | Upper bounds on the minimum coverage probability of confidence intervals
in regression after variable selection | We consider a linear regression model, with the parameter of interest a
specified linear combination of the regression parameter vector. We suppose
that, as a first step, a data-based model selection (e.g. by preliminary
hypothesis tests or minimizing AIC) is used to select a model. It is common
statistical practice to then construct a confidence interval for the parameter
of interest based on the assumption that the selected model had been given to
us a priori. This assumption is false and it can lead to a confidence interval
with poor coverage properties. We provide an easily-computed finite sample
upper bound (calculated by repeated numerical evaluation of a double integral)
to the minimum coverage probability of this confidence interval. This bound
applies for model selection by any of the following methods: minimum AIC,
minimum BIC, maximum adjusted R-squared, minimum Mallows' Cp and t-tests. The
importance of this upper bound is that it delineates general categories of
design matrices and model selection procedures for which this confidence
interval has poor coverage properties. This upper bound is shown to be a finite
sample analogue of an earlier large sample upper bound due to Kabaila and Leeb.
| math.ST stat.AP stat.TH | we consider a linear regression model with the parameter of interest a specified linear combination of the regression parameter vector we suppose that as a first step a databased model selection eg by preliminary hypothesis tests or minimizing aic is used to select a model it is common statistical practice to then construct a confidence interval for the parameter of interest based on the assumption that the selected model had been given to us a priori this assumption is false and it can lead to a confidence interval with poor coverage properties we provide an easilycomputed finite sample upper bound calculated by repeated numerical evaluation of a double integral to the minimum coverage probability of this confidence interval this bound applies for model selection by any of the following methods minimum aic minimum bic maximum adjusted rsquared minimum mallows cp and ttests the importance of this upper bound is that it delineates general categories of design matrices and model selection procedures for which this confidence interval has poor coverage properties this upper bound is shown to be a finite sample analogue of an earlier large sample upper bound due to kabaila and leeb | [['we', 'consider', 'a', 'linear', 'regression', 'model', 'with', 'the', 'parameter', 'of', 'interest', 'a', 'specified', 'linear', 'combination', 'of', 'the', 'regression', 'parameter', 'vector', 'we', 'suppose', 'that', 'as', 'a', 'first', 'step', 'a', 'databased', 'model', 'selection', 'eg', 'by', 'preliminary', 'hypothesis', 'tests', 'or', 'minimizing', 'aic', 'is', 'used', 'to', 'select', 'a', 'model', 'it', 'is', 'common', 'statistical', 'practice', 'to', 'then', 'construct', 'a', 'confidence', 'interval', 'for', 'the', 'parameter', 'of', 'interest', 'based', 'on', 'the', 'assumption', 'that', 'the', 'selected', 'model', 'had', 'been', 'given', 'to', 'us', 'a', 'priori', 'this', 'assumption', 'is', 'false', 'and', 'it', 'can', 'lead', 'to', 'a', 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'and', 'leeb']] | [-0.08167341816778309, 0.050971030172140344, -0.11346781103017649, 0.11072496951550458, -0.11077098950497574, -0.1615479617027344, 0.17215907770339303, 0.3567269998578442, -0.2141473834677913, -0.33584203161154463, 0.1322484775566993, -0.23411340906569456, -0.0971518466779914, 0.16834067302958683, -0.08534141064385059, 0.09012831178604784, 0.06826112297884734, 0.051836920062645814, -0.04877274612403943, -0.2770904515027865, 0.24086081969112622, 0.10408494728400222, 0.30060377705919467, 0.016139161273586163, 0.08668193586202039, 0.020860907242879503, -0.013680682548953925, 0.009552477371584565, -0.1966387402172996, 0.12793708368749815, 0.2471061656685845, 0.18310271538528639, 0.33428026535041594, -0.3010989208965471, -0.22220846703227784, 0.15808493989505298, 0.10999413819854217, 0.06997299447494024, -0.016272579358982336, -0.2371266100391591, 0.10758707526265378, -0.17367441563338037, -0.08589489080754972, -0.02343235010223299, 0.01942383993774112, 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711.0994 | Cosmic String Loops, Large and Small | We extend our earlier model of the small scale structure of cosmic string
networks through an improved treatment of the separation of long and short
scales. We find that the production of small loops (at the gravitational
radiation scale) is a robust feature of string networks, in addition to a
population of loops near the horizon scale. We obtain quantitative agreement
with the scaling of loop production functions as found in simulations by two
groups.
| astro-ph gr-qc hep-ph hep-th | we extend our earlier model of the small scale structure of cosmic string networks through an improved treatment of the separation of long and short scales we find that the production of small loops at the gravitational radiation scale is a robust feature of string networks in addition to a population of loops near the horizon scale we obtain quantitative agreement with the scaling of loop production functions as found in simulations by two groups | [['we', 'extend', 'our', 'earlier', 'model', 'of', 'the', 'small', 'scale', 'structure', 'of', 'cosmic', 'string', 'networks', 'through', 'an', 'improved', 'treatment', 'of', 'the', 'separation', 'of', 'long', 'and', 'short', 'scales', 'we', 'find', 'that', 'the', 'production', 'of', 'small', 'loops', 'at', 'the', 'gravitational', 'radiation', 'scale', 'is', 'a', 'robust', 'feature', 'of', 'string', 'networks', 'in', 'addition', 'to', 'a', 'population', 'of', 'loops', 'near', 'the', 'horizon', 'scale', 'we', 'obtain', 'quantitative', 'agreement', 'with', 'the', 'scaling', 'of', 'loop', 'production', 'functions', 'as', 'found', 'in', 'simulations', 'by', 'two', 'groups']] | [-0.16169378496085604, 0.1511430389948267, -0.09005170273904999, 0.12969954560355593, 0.001690349963804086, -0.05281374452325205, 0.02134083267301321, 0.3598098056515058, -0.248356514275074, -0.3136326277504365, 0.07770031960991522, -0.25711999341845515, -0.10166770533969005, 0.2037213976215571, 0.02224315479397774, 0.03413236856460571, 0.059973054279883704, 0.03888715688760082, -0.03811397820400695, -0.20514452775008976, 0.34415329386169713, 0.14601068530231714, 0.25737293004989625, 0.08092492607732614, 0.09343113919720053, -0.0387557574827224, -0.058960366197861734, 0.06652317342658838, -0.10198730992201793, 0.10911813187878579, 0.177049470616815, 0.07189263402173916, 0.2145743062129865, -0.45639637293914953, -0.2467318754767378, 0.07087725277990103, 0.16921882170795774, 0.1536494178076585, -0.03365600204716126, -0.22734343331307172, 0.08898619410892328, -0.17116838252792757, -0.11730372216552495, -0.022614343278110027, 0.030360411734630666, 0.0036389583349227903, -0.2481094987791342, 0.10299498807483663, -0.0022272120354076227, 0.023654548296084005, -0.047512938585132364, -0.05369266055524349, 0.0066559865108380715, 0.15852002183751512, 0.0910315501022463, 0.058698497464259466, 0.13770235748961568, -0.16409731638307373, -0.14372128053878744, 0.3426652010157704, -0.10688117862989505, -0.11813075587153435, 0.18503081815938155, -0.1849896987217168, -0.1578438981125752, 0.12882030989974738, 0.17588741372028988, 0.1356476849069198, -0.13575861224361385, 0.07302850472352777, -0.019027728028595446, 0.1926957038262238, 0.06299352118124564, 0.03948636105196783, 0.22554270101090274, 0.22866347146530946, 0.030480785469214122, 0.14722960010170938, -0.10110566308101018, -0.09968313230822484, -0.35909825245539345, -0.08298202292372783, -0.10704366017132998, 0.03647123654683431, -0.14465447126557895, -0.20519856304240724, 0.35080757295091947, 0.1494628939156731, 0.2597974045574665, 0.13694072555750608, 0.24486591649552186, 0.0547325417973722, 0.11803019447873037, 0.07051337425286572, 0.26108277508368094, 0.10217882447255154, 0.09893423365429044, -0.2412829628152152, 0.0012315765023231506, 0.045538448157409823] |
711.0995 | The Quadratic Spin Squeezing Operators | We discuss generic spin squeezing operators (quadratic in angular momentum
operators) capable of squeezing out quantum mechanical noise from a system of
two-level atoms (spins) in a coherent state. Such systems have been considered
by Kitagawa and Ueda (Refs. 2) in this context and a Hamiltonian of this nature
governs the Lipkin model (Ref. 14) which is relevant to nuclear physics.
| quant-ph | we discuss generic spin squeezing operators quadratic in angular momentum operators capable of squeezing out quantum mechanical noise from a system of twolevel atoms spins in a coherent state such systems have been considered by kitagawa and ueda refs 2 in this context and a hamiltonian of this nature governs the lipkin model ref 14 which is relevant to nuclear physics | [['we', 'discuss', 'generic', 'spin', 'squeezing', 'operators', 'quadratic', 'in', 'angular', 'momentum', 'operators', 'capable', 'of', 'squeezing', 'out', 'quantum', 'mechanical', 'noise', 'from', 'a', 'system', 'of', 'twolevel', 'atoms', 'spins', 'in', 'a', 'coherent', 'state', 'such', 'systems', 'have', 'been', 'considered', 'by', 'kitagawa', 'and', 'ueda', 'refs', '2', 'in', 'this', 'context', 'and', 'a', 'hamiltonian', 'of', 'this', 'nature', 'governs', 'the', 'lipkin', 'model', 'ref', '14', 'which', 'is', 'relevant', 'to', 'nuclear', 'physics']] | [-0.14860983721179064, 0.21040337283897106, -0.03087390841320768, 0.06382039666259814, 0.028453956396303704, -0.15858986079845516, 0.010973011292364509, 0.29304310210720924, -0.2184371837094182, -0.2746231688155991, 0.012516132733387659, -0.2702998752079782, -0.13570523426150444, 0.18227789665144853, -0.033845804311090806, 0.11089245361260704, 0.024238172949093285, 0.009485046711338103, -0.07176367031624083, -0.20285968746623542, 0.33995786876409106, 0.05743413029780581, 0.2050459556525848, 0.018215600336275874, 0.13780766880506132, 0.042313956234749164, 0.047065099926482216, -0.05288873790748051, -0.07951198835841945, 0.07046541873915274, 0.2692007359544762, 0.02302408177543004, 0.23407280258834362, -0.3957893116491251, -0.22884645107866372, 0.0884289020580835, 0.11208505953946456, 0.20308081403214362, 0.0011594671694958795, -0.31385015369560876, -0.036176243527853466, -0.2485420915801994, -0.14016628266144238, -0.1639364641732307, 0.07034143811610878, -0.013124833524715706, -0.23334083571785785, 0.10109181615875149, 0.14392018061967138, 0.07480935016494306, -0.03779862768428981, -0.11651866431691546, 0.002243799634552637, 0.014283025034199485, -0.06188189546715041, 0.0172646992503986, 0.1493484872988746, -0.11640928715436918, -0.1617758652103729, 0.3573213429419232, -0.022654834912887577, -0.20393377916551517, 0.15013058206112292, -0.13867774688959367, -0.11318639330718605, 0.06543181509878791, 0.13989461620994767, 0.09483534876318252, -0.20238448230580228, 0.1500663764633574, -0.02999324874463873, 0.19679526769418698, 0.035858000383891746, 0.1134608794370147, 0.21990084391636927, 0.13401215647148793, 0.01791932208265071, 0.13981007322760636, -0.050701277448841536, -0.155552445032985, -0.2725663991706049, -0.1616782947981608, -0.2093461086271239, 0.1293748903038652, -0.006128523483028879, -0.033054175084365194, 0.44878403280602125, 0.15233720088621877, 0.15658196515296816, -0.101950641448579, 0.21850116341756504, 0.1377270585155023, 0.06284978208666453, 0.05845337716068645, 0.29808771307198484, 0.20860738361055856, 0.10836862061233794, -0.29112168033530966, -0.04918415097092263, 0.05198030127975784] |
711.0996 | "Gauge" in General Relativity: Second-order general relativistic
gauge-invariant perturbation theory | As in the case of the other gauge field theories, there is so called
``gauge'' also in general relativity. This ``gauge'' is unphysical degree of
freedom. There are two kinds of ``gauges'' in general relativity. These are
called the first- and the second-kind of gauges, respectively. The gauge of the
first kind is just coordinate system on a single manifold. On the other hand,
the gauge of the second kind arises in the general relativistic perturbations.
Through the precise distinction of these two concepts of ``gauges'', we develop
second-order gauge-invariant general relativistic perturbation theory.
| gr-qc astro-ph hep-th math-ph math.MP | as in the case of the other gauge field theories there is so called gauge also in general relativity this gauge is unphysical degree of freedom there are two kinds of gauges in general relativity these are called the first and the secondkind of gauges respectively the gauge of the first kind is just coordinate system on a single manifold on the other hand the gauge of the second kind arises in the general relativistic perturbations through the precise distinction of these two concepts of gauges we develop secondorder gaugeinvariant general relativistic perturbation theory | [['as', 'in', 'the', 'case', 'of', 'the', 'other', 'gauge', 'field', 'theories', 'there', 'is', 'so', 'called', 'gauge', 'also', 'in', 'general', 'relativity', 'this', 'gauge', 'is', 'unphysical', 'degree', 'of', 'freedom', 'there', 'are', 'two', 'kinds', 'of', 'gauges', 'in', 'general', 'relativity', 'these', 'are', 'called', 'the', 'first', 'and', 'the', 'secondkind', 'of', 'gauges', 'respectively', 'the', 'gauge', 'of', 'the', 'first', 'kind', 'is', 'just', 'coordinate', 'system', 'on', 'a', 'single', 'manifold', 'on', 'the', 'other', 'hand', 'the', 'gauge', 'of', 'the', 'second', 'kind', 'arises', 'in', 'the', 'general', 'relativistic', 'perturbations', 'through', 'the', 'precise', 'distinction', 'of', 'these', 'two', 'concepts', 'of', 'gauges', 'we', 'develop', 'secondorder', 'gaugeinvariant', 'general', 'relativistic', 'perturbation', 'theory']] | [-0.1924130288398567, 0.1746174701974985, -0.09487501133550355, 0.09622368546688255, -0.09595304978218802, -0.13604085713605138, -0.05547889846530644, 0.32679159976938305, -0.21295634950907466, -0.24760404443170161, 0.039522900672114274, -0.248971443762012, -0.17864363911026654, 0.1329516365212646, -0.05359496305042759, 0.004562666302824274, -0.00222057841366474, 0.09786509869848081, -0.10519260759069089, -0.22911989881082417, 0.4132467605857218, -0.011066195921615717, 0.2289950796204837, 0.010840217612604511, 0.12431836618665368, 0.029059028141497772, -0.029808384138456684, 0.039069028234386696, -0.07195539761612073, 0.0966569258970149, 0.2044635716495364, 0.0980981169962027, 0.2524836498530621, -0.4188767481555647, -0.21127111511304975, 0.0374574845042476, 0.06995696169720526, 0.18881626490582812, -0.028246412224611862, -0.26398168039691455, 0.019881802088422502, -0.15064506779039066, -0.14585545035004813, -0.08807888163372557, -0.029199626290566348, -0.04182223301935703, -0.21670452224962572, 0.08905579919519369, 0.03528692475222844, 0.06273420492900496, -0.014929348736644742, -0.08028301030541077, -0.01677945570306892, 0.0726089961678186, 0.12282415132900264, 0.04330134616193778, 0.07364035273921933, -0.1426142098931992, -0.11473668639132, 0.4710370626577989, -0.0621813542799073, -0.2796511780866917, 0.1896983825457976, -0.16231708082945107, -0.22585528680777295, 0.052877373215643335, 0.13700008709379968, 0.207563789937883, -0.15769403814239072, 0.14338472904575533, -0.04434183665967368, 0.10462483323050385, 0.09822508547098395, 0.04967805167828548, 0.20201294357947847, 0.05402179155746435, 0.06058413765214859, 0.09817921162825673, -0.0027338388187691885, -0.15293480457856934, -0.46524678812699116, -0.15330593514583132, -0.12163538451088553, 0.029423192225178665, -0.10823859446270248, -0.1696130975466618, 0.413744296918207, 0.14810579967501752, 0.07172285670295675, 0.026625096020189688, 0.25801933711355035, 0.14031270094726117, 0.07644374572493612, 0.018429207263831446, 0.32458307085796556, 0.15434493120521942, 0.05943259884642952, -0.19292208136020952, -0.06398965922144657, 0.13395631549126924] |
711.0997 | Keck spectroscopy of globular clusters in the spiral galaxy NGC 2683 | We analyse Keck spectra of 24 candidate globular clusters (GCs) associated
with the spiral galaxy NGC 2683. We identify 19 bona fide GCs based on their
recession velocities, of which 15 were suitable for stellar population
analysis. Age and metallicity determinations reveal old ages in 14 out of 15
GCs. These old GCs exhibit age and metallicity distributions similar to that of
the Milky Way GC system. One GC in NGC 2683 was found to exhibit an age of ~3
Gyr. The age, metallicity and alpha-element abundance of this centrally located
GC are remarkably similar to the values found for the galactic centre itself,
providing further evidence for a recent star formation event in NGC 2683.
| astro-ph | we analyse keck spectra of 24 candidate globular clusters gcs associated with the spiral galaxy ngc 2683 we identify 19 bona fide gcs based on their recession velocities of which 15 were suitable for stellar population analysis age and metallicity determinations reveal old ages in 14 out of 15 gcs these old gcs exhibit age and metallicity distributions similar to that of the milky way gc system one gc in ngc 2683 was found to exhibit an age of 3 gyr the age metallicity and alphaelement abundance of this centrally located gc are remarkably similar to the values found for the galactic centre itself providing further evidence for a recent star formation event in ngc 2683 | [['we', 'analyse', 'keck', 'spectra', 'of', '24', 'candidate', 'globular', 'clusters', 'gcs', 'associated', 'with', 'the', 'spiral', 'galaxy', 'ngc', '2683', 'we', 'identify', '19', 'bona', 'fide', 'gcs', 'based', 'on', 'their', 'recession', 'velocities', 'of', 'which', '15', 'were', 'suitable', 'for', 'stellar', 'population', 'analysis', 'age', 'and', 'metallicity', 'determinations', 'reveal', 'old', 'ages', 'in', '14', 'out', 'of', '15', 'gcs', 'these', 'old', 'gcs', 'exhibit', 'age', 'and', 'metallicity', 'distributions', 'similar', 'to', 'that', 'of', 'the', 'milky', 'way', 'gc', 'system', 'one', 'gc', 'in', 'ngc', '2683', 'was', 'found', 'to', 'exhibit', 'an', 'age', 'of', '3', 'gyr', 'the', 'age', 'metallicity', 'and', 'alphaelement', 'abundance', 'of', 'this', 'centrally', 'located', 'gc', 'are', 'remarkably', 'similar', 'to', 'the', 'values', 'found', 'for', 'the', 'galactic', 'centre', 'itself', 'providing', 'further', 'evidence', 'for', 'a', 'recent', 'star', 'formation', 'event', 'in', 'ngc', '2683']] | [-0.014962943286859784, 0.05741550551101682, -0.1368361005663936, 0.13581763935608565, -0.11585385868113071, -0.04142285838867698, 0.06540801873478781, 0.48873035175974705, -0.08161300685304891, -0.42451642087564384, -0.036435699643334374, -0.27096844086190686, 0.006118300740189594, 0.20942508424471679, -0.09876109284884697, -0.09153870517046267, 0.11460158591417612, -0.06086429577031783, -0.018541294479228813, -0.36005738826089984, 0.2632132825152627, 0.018801100736740847, 0.10437264307883792, -0.13202623062734975, 0.01689397349375589, -0.15433039413644642, -0.07751869900425061, -0.06584952520367143, -0.19729432138717976, 0.026359472956191267, 0.2594240254016015, 0.1700219620926936, 0.20440366786728004, -0.26858739413577937, -0.13866820424827264, 0.010581860688097518, 0.3172224162403366, 0.002922237711980666, -0.1784805737341481, -0.300813975776064, 0.06999846292932614, -0.20138438850749638, -0.30036835236763904, 0.17311801458708942, 0.1003425351970283, 0.03647620847914368, -0.1572155431605442, 0.272116056113536, -0.03585904680096127, 0.19661374757034256, -0.18979690271100544, -0.19186706379646082, -0.0698652169887972, 0.0761802699356661, -0.026397948493530717, 0.07016170120613392, 0.18776078889515765, -0.05024454161396314, 0.007290890368087025, 0.3759098807670947, -0.027451286560069, 0.12443519491252714, 0.27564240415211255, -0.21907632605269037, -0.2598652739543468, 0.0049814918311312795, 0.11600099889368846, 0.0747147041437184, -0.2449707844985071, -0.013761795669340464, -0.03272588175554872, 0.24346214349799114, 0.08190599812098362, 0.05267607524064229, 0.3191118116554772, 0.06050571424340637, 0.07570237738224839, 0.007655630649894412, -0.28112798738785105, -0.08478948898645568, -0.12859627140830432, -0.10875685439958911, 0.0012995108102994233, 0.12448574852645959, -0.21277832959044488, -0.12747764025397343, 0.3077835510484874, 0.0871073583237313, 0.24109371873782948, 0.027980967104291456, 0.20530950785453977, 0.03921985232014338, 0.17418685781665083, 0.16880478772559557, 0.2992329958601502, 0.2505197199563303, 0.04587039193700485, -0.2767704383967894, 0.11842823699859356, -0.045452210433973836] |
711.0998 | Stellar models with Schwarzschild and non-Schwarzschild vacuum exteriors | A striking characteristic of non-Schwarzschild vacuum exteriors is that they
contain not only the total gravitational mass of the source, but also an {\it
arbitrary} constant. In this work, we show that the constants appearing in the
"temporal Schwarzschild", "spatial Schwarzschild" and
"Reissner-Nordstr{\"o}m-like" exteriors are not arbitrary but are completely
determined by star's parameters, like the equation of state and the
gravitational potential. Consequently, in the braneworld scenario the
gravitational field outside of a star is no longer determined by the total mass
alone, but also depends on the details of the internal structure of the source.
We show that the general relativistic upper bound on the gravitational
potential $M/R < 4/9$, for perfect fluid stars, is significantly increased in
these exteriors. Namely, $M/R < 1/2$, $M/R < 2/3$ and $M/R < 1$ for the
temporal Schwarzschild, spatial Schwarzschild and Reissner-Nordstr{\"o}m-like
exteriors, respectively. Regarding the surface gravitational redshift, we find
that the general relativistic Schwarzschild exterior as well as the braneworld
spatial Schwarzschild exterior lead to the same upper bound, viz., $Z < 2$.
However, when the external spacetime is the temporal Schwarzschild metric or
the Reissner-Nordstr{\"o}m-like exterior there is no such constraint: $Z <
\infty$. This infinite difference in the limiting value of $Z$ is because for
these exteriors the effective pressure at the surface is negative. The results
of our work are potentially observable and can be used to test the theory.
| gr-qc | a striking characteristic of nonschwarzschild vacuum exteriors is that they contain not only the total gravitational mass of the source but also an it arbitrary constant in this work we show that the constants appearing in the temporal schwarzschild spatial schwarzschild and reissnernordstromlike exteriors are not arbitrary but are completely determined by stars parameters like the equation of state and the gravitational potential consequently in the braneworld scenario the gravitational field outside of a star is no longer determined by the total mass alone but also depends on the details of the internal structure of the source we show that the general relativistic upper bound on the gravitational potential mr 49 for perfect fluid stars is significantly increased in these exteriors namely mr 12 mr 23 and mr 1 for the temporal schwarzschild spatial schwarzschild and reissnernordstromlike exteriors respectively regarding the surface gravitational redshift we find that the general relativistic schwarzschild exterior as well as the braneworld spatial schwarzschild exterior lead to the same upper bound viz z 2 however when the external spacetime is the temporal schwarzschild metric or the reissnernordstromlike exterior there is no such constraint z infty this infinite difference in the limiting value of z is because for these exteriors the effective pressure at the surface is negative the results of our work are potentially observable and can be used to test the theory | [['a', 'striking', 'characteristic', 'of', 'nonschwarzschild', 'vacuum', 'exteriors', 'is', 'that', 'they', 'contain', 'not', 'only', 'the', 'total', 'gravitational', 'mass', 'of', 'the', 'source', 'but', 'also', 'an', 'it', 'arbitrary', 'constant', 'in', 'this', 'work', 'we', 'show', 'that', 'the', 'constants', 'appearing', 'in', 'the', 'temporal', 'schwarzschild', 'spatial', 'schwarzschild', 'and', 'reissnernordstromlike', 'exteriors', 'are', 'not', 'arbitrary', 'but', 'are', 'completely', 'determined', 'by', 'stars', 'parameters', 'like', 'the', 'equation', 'of', 'state', 'and', 'the', 'gravitational', 'potential', 'consequently', 'in', 'the', 'braneworld', 'scenario', 'the', 'gravitational', 'field', 'outside', 'of', 'a', 'star', 'is', 'no', 'longer', 'determined', 'by', 'the', 'total', 'mass', 'alone', 'but', 'also', 'depends', 'on', 'the', 'details', 'of', 'the', 'internal', 'structure', 'of', 'the', 'source', 'we', 'show', 'that', 'the', 'general', 'relativistic', 'upper', 'bound', 'on', 'the', 'gravitational', 'potential', 'mr', '49', 'for', 'perfect', 'fluid', 'stars', 'is', 'significantly', 'increased', 'in', 'these', 'exteriors', 'namely', 'mr', '12', 'mr', '23', 'and', 'mr', '1', 'for', 'the', 'temporal', 'schwarzschild', 'spatial', 'schwarzschild', 'and', 'reissnernordstromlike', 'exteriors', 'respectively', 'regarding', 'the', 'surface', 'gravitational', 'redshift', 'we', 'find', 'that', 'the', 'general', 'relativistic', 'schwarzschild', 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711.0999 | Quenching Bloch oscillations in a strongly correlated material | Dynamical mean-field theory is generalized to solve the nonequilibrium
Keldysh boundary problem: a system is started in equilibrium at a temperature
T=0.1, a uniform electric field is turned on at t=0, and the system is
monitored as it approaches the steady state. The focus here is on the Bloch
oscillations of the current and how they decay after their initial appearance
near t=0. The system is evolved out to the longest time allowed by our
computational resources--in most cases we are unable to reach the steady state.
The strongly correlated material is modeled by the spinless Falicov-Kimball
model at half-filling on a hypercubic lattice in d=oo dimensions, which has a
Mott-like metal-insulator transition at U=sqrt{2}. The computational algorithm
employed is highly efficient, parallelizes well, and scales to thousands of
processors. For strong fields, we find beats develop with a period of 2 pi/U,
while for strong interactions, the Bloch oscillations are sharply damped and
become quite irregular in time.
| cond-mat.str-el cond-mat.stat-mech | dynamical meanfield theory is generalized to solve the nonequilibrium keldysh boundary problem a system is started in equilibrium at a temperature t01 a uniform electric field is turned on at t0 and the system is monitored as it approaches the steady state the focus here is on the bloch oscillations of the current and how they decay after their initial appearance near t0 the system is evolved out to the longest time allowed by our computational resourcesin most cases we are unable to reach the steady state the strongly correlated material is modeled by the spinless falicovkimball model at halffilling on a hypercubic lattice in doo dimensions which has a mottlike metalinsulator transition at usqrt2 the computational algorithm employed is highly efficient parallelizes well and scales to thousands of processors for strong fields we find beats develop with a period of 2 piu while for strong interactions the bloch oscillations are sharply damped and become quite irregular in time | [['dynamical', 'meanfield', 'theory', 'is', 'generalized', 'to', 'solve', 'the', 'nonequilibrium', 'keldysh', 'boundary', 'problem', 'a', 'system', 'is', 'started', 'in', 'equilibrium', 'at', 'a', 'temperature', 't01', 'a', 'uniform', 'electric', 'field', 'is', 'turned', 'on', 'at', 't0', 'and', 'the', 'system', 'is', 'monitored', 'as', 'it', 'approaches', 'the', 'steady', 'state', 'the', 'focus', 'here', 'is', 'on', 'the', 'bloch', 'oscillations', 'of', 'the', 'current', 'and', 'how', 'they', 'decay', 'after', 'their', 'initial', 'appearance', 'near', 't0', 'the', 'system', 'is', 'evolved', 'out', 'to', 'the', 'longest', 'time', 'allowed', 'by', 'our', 'computational', 'resourcesin', 'most', 'cases', 'we', 'are', 'unable', 'to', 'reach', 'the', 'steady', 'state', 'the', 'strongly', 'correlated', 'material', 'is', 'modeled', 'by', 'the', 'spinless', 'falicovkimball', 'model', 'at', 'halffilling', 'on', 'a', 'hypercubic', 'lattice', 'in', 'doo', 'dimensions', 'which', 'has', 'a', 'mottlike', 'metalinsulator', 'transition', 'at', 'usqrt2', 'the', 'computational', 'algorithm', 'employed', 'is', 'highly', 'efficient', 'parallelizes', 'well', 'and', 'scales', 'to', 'thousands', 'of', 'processors', 'for', 'strong', 'fields', 'we', 'find', 'beats', 'develop', 'with', 'a', 'period', 'of', '2', 'piu', 'while', 'for', 'strong', 'interactions', 'the', 'bloch', 'oscillations', 'are', 'sharply', 'damped', 'and', 'become', 'quite', 'irregular', 'in', 'time']] | [-0.15636954389239668, 0.18998852301578803, -0.0947376049050186, 0.06848762604143993, -0.01780657792185095, -0.18164224724009467, 0.06075125340013438, 0.36983532852427975, -0.25453874156854833, -0.24732632432162618, 0.11677196059616247, -0.2996922823671655, -0.09515051261053249, 0.1683331605352485, 0.02544336731005816, 0.04530816282379992, 0.03164901297278465, 0.04752343497980552, -0.06310430454508444, -0.24073116860358387, 0.27591485031461493, 0.028284826857975096, 0.25688848198557596, 0.03533212201978276, 0.06327133264784125, -0.0117955267307746, 0.07947610971383649, 0.026920674261302895, -0.10027367108264956, 0.0020992062581038683, 0.2213346753981273, 0.016524536845924562, 0.2746253394681937, -0.4396584188435108, -0.20304623484065767, 0.05341470223157459, 0.15278667113209843, 0.1499994235138474, 0.009517958120792914, -0.28597344017949455, 0.026044568994563002, -0.12663371389684308, -0.15834500683934255, -0.07741958528585068, 0.05066939661684179, -0.006925281790117763, -0.24572862623701358, 0.10863625753676863, 0.02504724911751469, 0.03382867748276657, -0.06163728725058353, -0.0889737351217669, -0.0209322583885377, 0.09419402211999438, 0.008128518584943643, 0.07769192126876182, 0.12801295372948146, -0.1278634190019576, -0.0709162800910936, 0.3695186846503976, -0.06171038416792656, -0.1471846219875915, 0.22571944294550758, -0.16323412848031446, -0.11410292116094642, 0.17107084257955288, 0.14105230120138953, 0.11854951498009692, -0.14165166335975288, 0.10171897683713799, -0.009703605257087406, 0.17013360862527488, 0.009424851685287845, -0.004355116071072734, 0.2433586783564774, 0.20394769610220176, 0.07880235149356044, 0.1303695076690975, -0.08130233733363118, -0.14037202832223789, -0.2384700463123762, -0.0770855432785573, -0.20507059581384987, 0.056285417383643475, -0.015640975512596807, -0.17510342031456294, 0.4055288604329133, 0.14101566417605443, 0.1670188273119319, 0.03315187649056909, 0.25118081228567324, 0.1603507775320986, 0.03289516371013789, 0.10916812641391899, 0.237955919959268, 0.12349753157431438, 0.14623990752081725, -0.2816074792337218, 0.038881590648459356, 0.05435239897661243] |
711.1 | Soft x-ray magnetic circular dichroism study of Ca_1-xSr_xRuO_3 across
the ferromagnetic quantum phase transition | Ca_1-xSr_xRuO_3, which is ferromagnetic for Sr concentration x > 0.3, has
been studied by x-ray magnetic circular dichroism (XMCD) in Ru 3p and O 1s
core-level x-ray absorption. XMCD signals appear at x ~ 0.3 and monotonically
increases with x in the ferromagnetic phase. While the monotonic increase of
the XMCD signals with x is of a typical Stoner-type, the absence of appreciable
change in the spectral line shapes of both the Ru 3p and O 1s XMCD spectra
indicate that the itinerant-electron ferromagnetism in Ca_1-xSr_xRuO_3 is
influenced by strong electron correlation.
| cond-mat.str-el | ca_1xsr_xruo_3 which is ferromagnetic for sr concentration x 03 has been studied by xray magnetic circular dichroism xmcd in ru 3p and o 1s corelevel xray absorption xmcd signals appear at x 03 and monotonically increases with x in the ferromagnetic phase while the monotonic increase of the xmcd signals with x is of a typical stonertype the absence of appreciable change in the spectral line shapes of both the ru 3p and o 1s xmcd spectra indicate that the itinerantelectron ferromagnetism in ca_1xsr_xruo_3 is influenced by strong electron correlation | [['ca_1xsr_xruo_3', 'which', 'is', 'ferromagnetic', 'for', 'sr', 'concentration', 'x', '03', 'has', 'been', 'studied', 'by', 'xray', 'magnetic', 'circular', 'dichroism', 'xmcd', 'in', 'ru', '3p', 'and', 'o', '1s', 'corelevel', 'xray', 'absorption', 'xmcd', 'signals', 'appear', 'at', 'x', '03', 'and', 'monotonically', 'increases', 'with', 'x', 'in', 'the', 'ferromagnetic', 'phase', 'while', 'the', 'monotonic', 'increase', 'of', 'the', 'xmcd', 'signals', 'with', 'x', 'is', 'of', 'a', 'typical', 'stonertype', 'the', 'absence', 'of', 'appreciable', 'change', 'in', 'the', 'spectral', 'line', 'shapes', 'of', 'both', 'the', 'ru', '3p', 'and', 'o', '1s', 'xmcd', 'spectra', 'indicate', 'that', 'the', 'itinerantelectron', 'ferromagnetism', 'in', 'ca_1xsr_xruo_3', 'is', 'influenced', 'by', 'strong', 'electron', 'correlation']] | [-0.10571633603169837, 0.16101871502310547, 0.047837687301745806, 0.03332822885105005, 0.04563317447900772, -0.16602933531182565, 0.08483177381144329, 0.4969296201809563, -0.23273097032374193, -0.31016817957755516, -0.050543092693921855, -0.4608936266846616, -0.036585296594156796, 0.07617205877746032, 0.08983919482720508, 0.001230863039381802, -0.037630093096099285, -0.03945686005648564, -0.169277180100008, -0.1642644167322115, 0.2263575529425659, 0.03631168550981039, 0.27258020980198955, 0.09182120347395539, -0.04837679080347615, 0.0848499508574605, 0.11795464433221654, 0.06902541049798443, -0.031548969450671975, 0.04281884202183309, 0.2791504870084199, -0.008908705005358735, 0.14500824225516143, -0.3749231928959489, -0.19219166979515154, -0.0051310128606432545, 0.16590902342101221, 0.01985149508982431, -0.08283833691199437, -0.24400980478491296, 0.11973935237620026, -0.06228079284879972, -0.08397952272472056, -0.037319214337251404, 0.071067831129767, 0.051743285581654745, -0.28379147649023007, 0.11942030523311008, 0.13976742680692536, 0.1383206150494516, -0.13990973016585817, -0.14089072795203803, -0.18373768666060641, -0.010143512362529609, 0.07444756899547594, 0.1220497571207075, 0.14587747244778174, -0.012315067039294676, -0.11873779346338283, 0.3315391686152328, -0.09269765281880443, 0.05448403330625628, 0.1264066233469004, -0.32108388817075384, -0.13354722225399615, 0.29714745094745676, 0.04772184877550568, 0.15644265165875285, -0.02475290971977467, 0.15392347757072208, -0.022548260823400182, 0.29863663303496485, 0.11067570345899598, 0.08742434231945398, 0.2457849757153202, 0.09566571503422562, 0.0062684031542051925, 0.08176441606867063, -0.2510646719125692, 0.09038568456625481, -0.1683433120263296, -0.12481947241097012, -0.1930346997793425, 0.06927081137175926, -0.08536798703177985, -0.16573826847492124, 0.32831714213931595, 0.05993756117690778, 0.24183984767560932, -0.10859544471895788, 0.23211289130003107, 0.13835917062930425, 0.0030181892586617983, -0.007054069198519838, 0.2883889738427983, 0.2489767014313574, 0.1759150621973359, -0.3541978786604225, 0.17751913072623376, 0.01297765952569369] |
711.1001 | Leptogenesis in a seesaw model with Fritzsch type lepton mass matrices | We investigate how the baryon asymmetry of our universe via leptogenesis can
be achieved within the framework of the seesaw model with Fritzsch type lepton
mass matrices proposed by Fukugita $et. al$. We study the cases with
CP-violating phases in charged lepton Yukawa matrix, however, with and without
Dirac neutrino Yukawa phases. We consider both flavor independent and flavor
dependent leptogenesis, and demonstrate how they lead to different amounts of
lepton asymmetries in detail. In particular, it is shown that flavor dependent
leptogenesis in this model can be worked out only when the CP phases in Dirac
neutrino Yukawa matrix become zero at the GUT scale. In addition to the CP
phases, for successful leptogenesis in the model it is required that the
degeneracy of the heavy Majorana neutrino mass spectrum should be broken and we
also show that the breakdown of the degeneracy can be radiatively induced.
| hep-ph | we investigate how the baryon asymmetry of our universe via leptogenesis can be achieved within the framework of the seesaw model with fritzsch type lepton mass matrices proposed by fukugita et al we study the cases with cpviolating phases in charged lepton yukawa matrix however with and without dirac neutrino yukawa phases we consider both flavor independent and flavor dependent leptogenesis and demonstrate how they lead to different amounts of lepton asymmetries in detail in particular it is shown that flavor dependent leptogenesis in this model can be worked out only when the cp phases in dirac neutrino yukawa matrix become zero at the gut scale in addition to the cp phases for successful leptogenesis in the model it is required that the degeneracy of the heavy majorana neutrino mass spectrum should be broken and we also show that the breakdown of the degeneracy can be radiatively induced | [['we', 'investigate', 'how', 'the', 'baryon', 'asymmetry', 'of', 'our', 'universe', 'via', 'leptogenesis', 'can', 'be', 'achieved', 'within', 'the', 'framework', 'of', 'the', 'seesaw', 'model', 'with', 'fritzsch', 'type', 'lepton', 'mass', 'matrices', 'proposed', 'by', 'fukugita', 'et', 'al', 'we', 'study', 'the', 'cases', 'with', 'cpviolating', 'phases', 'in', 'charged', 'lepton', 'yukawa', 'matrix', 'however', 'with', 'and', 'without', 'dirac', 'neutrino', 'yukawa', 'phases', 'we', 'consider', 'both', 'flavor', 'independent', 'and', 'flavor', 'dependent', 'leptogenesis', 'and', 'demonstrate', 'how', 'they', 'lead', 'to', 'different', 'amounts', 'of', 'lepton', 'asymmetries', 'in', 'detail', 'in', 'particular', 'it', 'is', 'shown', 'that', 'flavor', 'dependent', 'leptogenesis', 'in', 'this', 'model', 'can', 'be', 'worked', 'out', 'only', 'when', 'the', 'cp', 'phases', 'in', 'dirac', 'neutrino', 'yukawa', 'matrix', 'become', 'zero', 'at', 'the', 'gut', 'scale', 'in', 'addition', 'to', 'the', 'cp', 'phases', 'for', 'successful', 'leptogenesis', 'in', 'the', 'model', 'it', 'is', 'required', 'that', 'the', 'degeneracy', 'of', 'the', 'heavy', 'majorana', 'neutrino', 'mass', 'spectrum', 'should', 'be', 'broken', 'and', 'we', 'also', 'show', 'that', 'the', 'breakdown', 'of', 'the', 'degeneracy', 'can', 'be', 'radiatively', 'induced']] | [-0.08947311982204131, 0.2961311226394468, -0.018520994344726205, 0.1502654960644872, -0.057850506446148094, -0.18435299782415954, 0.06175620214245912, 0.33125982554377736, -0.22834568409991726, -0.3056024475073492, 0.04318676062079298, -0.2359977077969627, -0.09646393444917693, 0.0864634971697563, 0.025763988505885307, 0.01680877074957951, 0.018824933855039243, -0.07417365499595935, -0.10209759145210548, -0.27551613844666833, 0.3166425116800678, 0.03540422956968935, 0.25086802061697516, 0.09418255898384126, 0.03785613108020452, -0.09841172183184205, -0.006552217993885279, -0.056709890987644326, -0.04224011101487613, -0.017161430153882485, 0.2040505962244965, 0.08247934046866666, 0.044503308524302135, -0.4204723128822406, -0.1731903053870475, 0.21437117584502777, 0.18208430696127786, 0.13077619666787418, -0.11062040656326792, -0.30938019831287294, 0.09969815397414857, -0.23455544045459278, -0.11419638704722496, -0.1256963435805881, -0.07049732452975838, -0.12605237411382306, -0.36157258669216485, 0.1215777664389886, -0.04707601373209744, -0.058558672238644714, 0.04925001434339966, -0.14722022301882404, -0.06526799682320121, 0.028690470390633768, 0.18915649422608014, -0.08880306058091338, 0.10210591685058348, -0.14411227248854483, -0.10945914581267012, 0.4555041342183186, -0.0656334906391724, -0.18684242690309277, 0.10605985131523749, -0.18780474682264597, -0.17546022386994917, 0.058372208559130494, 0.15192937046113247, 0.06976271905571323, -0.16747687747467993, 0.1888603966075902, -0.09606403974828788, 0.13251351888568416, 0.04589801755689739, 0.004693953644459111, 0.308568728691269, 0.18482483335380517, 0.07444491123110433, 0.001460669662904095, -0.05123716313234606, -0.04385761453060597, -0.37233992633913215, -0.11161079217767897, -0.14236050094414904, 0.06197850201656488, -0.08858819998371277, -0.0846835173596864, 0.4792628681752831, 0.1636243638772489, 0.23204589672260792, -0.038050522382773865, 0.2548008441761438, 0.10522026294052626, 0.06887517063847012, 0.037004000114000124, 0.29595162307314976, 0.14365220639927037, 0.14834895497187972, -0.3272543600162592, 0.009540205638906037, 0.07591255562933716] |
711.1002 | Recent Progress in Studies of Pulsar Wind Nebulae | The synchrotron-emitting nebulae formed by energetic winds from young pulsars
provide information on a wide range phenomena that contribute to their
structure. High resolution X-ray observations reveal jets and toroidal
structures in many systems, along with knot-like structures whose emission is
observed to be time-variable. Large-scale filaments seen in optical and radio
images mark instability regions where the expanding nebulae interact with the
surrounding ejecta, and spectral studies reveal the presence of these ejecta in
the form of thermal X-ray emission. Infrared studies probe the frequency region
where evolutionary and magnetic field effects conspire to change the broadband
synchrotron spectrum dramatically, and studies of the innermost regions of the
nebulae provide constraints on the spectra of particles entering the nebula. At
the highest energies, TeV gamma-ray observations provide a probe of the
spectral region that, for low magnetic fields, corresponds to particles with
energies just below the X-ray-emitting regime.
Here I summarize the structure of pulsar wind nebulae and review several new
observations that have helped drive a recent resurgence in theoretical modeling
of these systems.
| astro-ph | the synchrotronemitting nebulae formed by energetic winds from young pulsars provide information on a wide range phenomena that contribute to their structure high resolution xray observations reveal jets and toroidal structures in many systems along with knotlike structures whose emission is observed to be timevariable largescale filaments seen in optical and radio images mark instability regions where the expanding nebulae interact with the surrounding ejecta and spectral studies reveal the presence of these ejecta in the form of thermal xray emission infrared studies probe the frequency region where evolutionary and magnetic field effects conspire to change the broadband synchrotron spectrum dramatically and studies of the innermost regions of the nebulae provide constraints on the spectra of particles entering the nebula at the highest energies tev gammaray observations provide a probe of the spectral region that for low magnetic fields corresponds to particles with energies just below the xrayemitting regime here i summarize the structure of pulsar wind nebulae and review several new observations that have helped drive a recent resurgence in theoretical modeling of these systems | [['the', 'synchrotronemitting', 'nebulae', 'formed', 'by', 'energetic', 'winds', 'from', 'young', 'pulsars', 'provide', 'information', 'on', 'a', 'wide', 'range', 'phenomena', 'that', 'contribute', 'to', 'their', 'structure', 'high', 'resolution', 'xray', 'observations', 'reveal', 'jets', 'and', 'toroidal', 'structures', 'in', 'many', 'systems', 'along', 'with', 'knotlike', 'structures', 'whose', 'emission', 'is', 'observed', 'to', 'be', 'timevariable', 'largescale', 'filaments', 'seen', 'in', 'optical', 'and', 'radio', 'images', 'mark', 'instability', 'regions', 'where', 'the', 'expanding', 'nebulae', 'interact', 'with', 'the', 'surrounding', 'ejecta', 'and', 'spectral', 'studies', 'reveal', 'the', 'presence', 'of', 'these', 'ejecta', 'in', 'the', 'form', 'of', 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711.1003 | The $\Sigma\Sigma$ interactions in finite-density QCD sum rules | The properties of $\Sigma$-hyperons in pure $\Sigma$ matter are studied with
the finite-density quantum chromo-dynamics sum rule (QCDSR) approach. The
$\Sigma\Sigma$ nuclear potential $U_\Sigma$ is most likely strongly attractive,
it could be about -50 MeV or even more attractive at normal nuclear density. If
this prediction is the case, the interactions between $\Sigma$-hyperons should
play crucial roles in the strange nuclear matter, when there are multi-$\Sigma$
hyperons. The bound state of double-$\Sigma$ maybe exist.
| nucl-th | the properties of sigmahyperons in pure sigma matter are studied with the finitedensity quantum chromodynamics sum rule qcdsr approach the sigmasigma nuclear potential u_sigma is most likely strongly attractive it could be about 50 mev or even more attractive at normal nuclear density if this prediction is the case the interactions between sigmahyperons should play crucial roles in the strange nuclear matter when there are multisigma hyperons the bound state of doublesigma maybe exist | [['the', 'properties', 'of', 'sigmahyperons', 'in', 'pure', 'sigma', 'matter', 'are', 'studied', 'with', 'the', 'finitedensity', 'quantum', 'chromodynamics', 'sum', 'rule', 'qcdsr', 'approach', 'the', 'sigmasigma', 'nuclear', 'potential', 'u_sigma', 'is', 'most', 'likely', 'strongly', 'attractive', 'it', 'could', 'be', 'about', '50', 'mev', 'or', 'even', 'more', 'attractive', 'at', 'normal', 'nuclear', 'density', 'if', 'this', 'prediction', 'is', 'the', 'case', 'the', 'interactions', 'between', 'sigmahyperons', 'should', 'play', 'crucial', 'roles', 'in', 'the', 'strange', 'nuclear', 'matter', 'when', 'there', 'are', 'multisigma', 'hyperons', 'the', 'bound', 'state', 'of', 'doublesigma', 'maybe', 'exist']] | [-0.10480760381563427, 0.25378876004674256, -0.1089499236462472, 0.15571988292504102, -0.02400724122608527, -0.1762990565740899, 0.001495023347335319, 0.3412881319551435, -0.20235804699469767, -0.26923764081136004, 0.03095853339867947, -0.3214958770940565, -0.06571419159754192, 0.11139159195750237, 0.07830126453446198, -0.021849992600499257, 0.021358421109042652, 0.1139533468075607, -0.05390964073052451, -0.2389342495980226, 0.31962366080651544, 0.021230348696842892, 0.22076302687701296, 0.1499626640077323, -0.025196266022498068, 0.009343818104379389, 0.03411081314010367, -0.03710752032850295, -0.0776216956493381, 0.04076052624221942, 0.29440324845379345, 0.03560452733642693, 0.22916766148928094, -0.40093059234372147, -0.18165024653179188, 0.21208162814991116, 0.11618966864396447, 0.10166101111099124, -0.05755815080670825, -0.2529167210243081, 0.08593531787293414, -0.1833081287523247, -0.1561723593367289, -0.1114376138653351, 0.04973383339389852, -0.019150945919323457, -0.21619522072811778, 0.14801628857313603, 0.04122636408612056, -0.030835342937952852, -0.03300642755762865, -0.22661223568098798, -0.011005411007479853, 0.07046104515527936, 0.03801810159666898, 0.10153761661088426, 0.17385646188751258, -0.2286604526229458, -0.038905555133593, 0.4457654741222728, -0.007935234262569719, -0.15776850150464333, 0.1758663303359118, -0.16652160734639898, -0.12825759861312092, 0.10731925504690368, 0.09084108053413156, 0.08210251673622286, -0.1307353532742725, 0.07855615363941107, -0.03596094798787867, 0.1894475765500779, 0.0600000083420987, 0.07932114238812499, 0.2935118993029815, 0.19542528133622486, 0.04300092564487498, 0.02308851356573454, -0.05038453802815838, -0.14865670809267115, -0.30220093058855974, -0.08220865434332279, -0.1197951856126677, 0.08630728285340274, -0.07503226651389101, -0.08393891824230756, 0.27214476589929976, 0.05370475242730893, 0.12323417846266538, -0.10354312647083035, 0.25394028251710005, 0.10472817703673284, 0.04883125187727074, 0.09448861046885587, 0.3251001451528083, 0.20695151280203503, 0.027469960691994182, -0.2517458421603955, 0.0707583427939513, 0.0009211147688839534] |
711.1004 | The principle of least action for test particles in a four-dimensional
spacetime embedded in 5D | It is well known that, in the five-dimensional scenario of braneworld and
space-time-mass theories, geodesic motion in 5D is observed to be non-geodesic
in 4D. Usually, the discussion is purely geometric and based on the dimensional
reduction of the geodesic equation in 5D, without any reference to the test
particle whatsoever. In this work we obtain the equation of motion in 4D
directly from the principle of least action. So our main thrust is not the
geometry but the particle observed in 4D. A clear physical picture emerges from
our work. Specifically, that the deviation from the geodesic motion in 4D is
due to the variation of the rest mass of a particle, which is induced by the
scalar field in the 5D metric and the explicit dependence of the spacetime
metric on the extra coordinate. Thus, the principle of least action not only
leads to the correct equations of motion, but also provides a concrete physical
meaning for a number of algebraic quantities appearing in the geometrical
reduction of the geodesic equation.
| gr-qc | it is well known that in the fivedimensional scenario of braneworld and spacetimemass theories geodesic motion in 5d is observed to be nongeodesic in 4d usually the discussion is purely geometric and based on the dimensional reduction of the geodesic equation in 5d without any reference to the test particle whatsoever in this work we obtain the equation of motion in 4d directly from the principle of least action so our main thrust is not the geometry but the particle observed in 4d a clear physical picture emerges from our work specifically that the deviation from the geodesic motion in 4d is due to the variation of the rest mass of a particle which is induced by the scalar field in the 5d metric and the explicit dependence of the spacetime metric on the extra coordinate thus the principle of least action not only leads to the correct equations of motion but also provides a concrete physical meaning for a number of algebraic quantities appearing in the geometrical reduction of the geodesic equation | [['it', 'is', 'well', 'known', 'that', 'in', 'the', 'fivedimensional', 'scenario', 'of', 'braneworld', 'and', 'spacetimemass', 'theories', 'geodesic', 'motion', 'in', '5d', 'is', 'observed', 'to', 'be', 'nongeodesic', 'in', '4d', 'usually', 'the', 'discussion', 'is', 'purely', 'geometric', 'and', 'based', 'on', 'the', 'dimensional', 'reduction', 'of', 'the', 'geodesic', 'equation', 'in', '5d', 'without', 'any', 'reference', 'to', 'the', 'test', 'particle', 'whatsoever', 'in', 'this', 'work', 'we', 'obtain', 'the', 'equation', 'of', 'motion', 'in', '4d', 'directly', 'from', 'the', 'principle', 'of', 'least', 'action', 'so', 'our', 'main', 'thrust', 'is', 'not', 'the', 'geometry', 'but', 'the', 'particle', 'observed', 'in', '4d', 'a', 'clear', 'physical', 'picture', 'emerges', 'from', 'our', 'work', 'specifically', 'that', 'the', 'deviation', 'from', 'the', 'geodesic', 'motion', 'in', '4d', 'is', 'due', 'to', 'the', 'variation', 'of', 'the', 'rest', 'mass', 'of', 'a', 'particle', 'which', 'is', 'induced', 'by', 'the', 'scalar', 'field', 'in', 'the', '5d', 'metric', 'and', 'the', 'explicit', 'dependence', 'of', 'the', 'spacetime', 'metric', 'on', 'the', 'extra', 'coordinate', 'thus', 'the', 'principle', 'of', 'least', 'action', 'not', 'only', 'leads', 'to', 'the', 'correct', 'equations', 'of', 'motion', 'but', 'also', 'provides', 'a', 'concrete', 'physical', 'meaning', 'for', 'a', 'number', 'of', 'algebraic', 'quantities', 'appearing', 'in', 'the', 'geometrical', 'reduction', 'of', 'the', 'geodesic', 'equation']] | [-0.10642854942310322, 0.12020700831623005, -0.11786370315303692, 0.07351869890921227, -0.1155953919233228, -0.08997912820148675, -0.017754379072431152, 0.28869560738820904, -0.2437567358923675, -0.31443197301702003, 0.04831888435564591, -0.27008445710320605, -0.15783273513331966, 0.15510098698260963, -0.095331646663519, 0.024330110468826327, 0.02339290735389865, 0.11575074304390505, -0.08345693690740003, -0.19285792564957085, 0.35715756339769317, 0.04840758430602122, 0.25472332157243066, 0.046767320230904685, 0.1423219443282726, -0.005355384776831707, -0.005368358026274798, 0.05954174474325849, -0.09635833586269056, 0.11854146767106187, 0.16230037049363458, 0.10888763426162432, 0.17569481958890862, -0.40403117223325147, -0.23065032100983265, 0.07476470605241448, 0.1393094596512228, 0.16079112132567094, -0.04270459091253148, -0.2701342256815103, 0.03736154441694821, -0.11402481045934636, -0.15708712425090998, -0.025957365186529698, 0.024142113757169015, -0.0680291283575581, -0.22352177566832546, 0.1001687862644863, 0.10722062585005979, 0.04583214413417729, -0.10194781342873921, -0.04413276665233011, -0.05380848689526965, 0.0899694609143529, 0.13987413265828497, 0.06704005698075874, 0.09815904004714651, -0.12176084669591689, -0.09373884247158347, 0.45583552644302733, -0.0703850186462218, -0.2847402158645493, 0.17294426556310558, -0.18299103388024462, -0.1017005484392382, 0.12660691299814883, 0.14462989339378873, 0.16669159769107497, -0.17596531209315178, 0.1606543122678376, -0.0192589621447199, 0.13576072387025837, 0.06627908488466389, 0.02782497858504813, 0.19917889090384103, 0.12137835528809211, 0.0464226657583922, 0.11217605099929874, -0.05749894870509733, -0.1391106670563556, -0.38606597138622595, -0.20100927885051148, -0.18159268500897063, 0.09890931057545216, -0.1466098688271151, -0.18197255160234266, 0.3703503214210444, 0.14516141736776314, 0.19466676269900163, 0.013473275313396114, 0.27763993373797463, 0.10383604786283407, 0.06377491405545976, 0.05405946928641699, 0.29005864548976024, 0.0963425228245707, 0.0765280255434141, -0.2389495797990956, -0.0012467938712178973, 0.12485109218476997] |
711.1005 | Universal quantized spin-Hall conductance fluctuation in graphene | We report a theoretical investigation of quantized spin-Hall conductance
fluctuation of graphene devices in the diffusive regime. Two graphene models
that exhibit quantized spin-Hall effect (QSHE) are analyzed. Model-I is with
unitary symmetry under an external magnetic field $B\ne 0$ but with zero
spin-orbit interaction, $t_{SO}=0$. Model-II is with symplectic symmetry where
B=0 but $t_{SO} \ne 0$. Extensive numerical calculations indicate that the two
models have exactly the same universal QSHE conductance fluctuation value
$0.285 e/4\pi$ regardless of the symmetry. Qualitatively different from the
conventional charge and spin universal conductance distributions, in the
presence of edge states the spin-Hall conductance shows an one-sided log-normal
distribution rather than a Gaussian distribution. Our results strongly suggest
that the quantized spin-Hall conductance fluctuation belongs to a new
universality class.
| cond-mat.mes-hall cond-mat.dis-nn | we report a theoretical investigation of quantized spinhall conductance fluctuation of graphene devices in the diffusive regime two graphene models that exhibit quantized spinhall effect qshe are analyzed modeli is with unitary symmetry under an external magnetic field bne 0 but with zero spinorbit interaction t_so0 modelii is with symplectic symmetry where b0 but t_so ne 0 extensive numerical calculations indicate that the two models have exactly the same universal qshe conductance fluctuation value 0285 e4pi regardless of the symmetry qualitatively different from the conventional charge and spin universal conductance distributions in the presence of edge states the spinhall conductance shows an onesided lognormal distribution rather than a gaussian distribution our results strongly suggest that the quantized spinhall conductance fluctuation belongs to a new universality class | [['we', 'report', 'a', 'theoretical', 'investigation', 'of', 'quantized', 'spinhall', 'conductance', 'fluctuation', 'of', 'graphene', 'devices', 'in', 'the', 'diffusive', 'regime', 'two', 'graphene', 'models', 'that', 'exhibit', 'quantized', 'spinhall', 'effect', 'qshe', 'are', 'analyzed', 'modeli', 'is', 'with', 'unitary', 'symmetry', 'under', 'an', 'external', 'magnetic', 'field', 'bne', '0', 'but', 'with', 'zero', 'spinorbit', 'interaction', 't_so0', 'modelii', 'is', 'with', 'symplectic', 'symmetry', 'where', 'b0', 'but', 't_so', 'ne', '0', 'extensive', 'numerical', 'calculations', 'indicate', 'that', 'the', 'two', 'models', 'have', 'exactly', 'the', 'same', 'universal', 'qshe', 'conductance', 'fluctuation', 'value', '0285', 'e4pi', 'regardless', 'of', 'the', 'symmetry', 'qualitatively', 'different', 'from', 'the', 'conventional', 'charge', 'and', 'spin', 'universal', 'conductance', 'distributions', 'in', 'the', 'presence', 'of', 'edge', 'states', 'the', 'spinhall', 'conductance', 'shows', 'an', 'onesided', 'lognormal', 'distribution', 'rather', 'than', 'a', 'gaussian', 'distribution', 'our', 'results', 'strongly', 'suggest', 'that', 'the', 'quantized', 'spinhall', 'conductance', 'fluctuation', 'belongs', 'to', 'a', 'new', 'universality', 'class']] | [-0.218286034937948, 0.20864084150479176, -0.0969824937293306, 0.018139592645689845, -0.033603436818346384, -0.23599738605692983, 0.025471140760928393, 0.3596937145292759, -0.271428813139908, -0.23812357151508332, -0.04659574700146914, -0.30294363875687125, -0.1623306113705039, 0.17012313953600824, 0.014431071883067489, 0.0306737889572978, -0.013945280525833369, -0.03227996360789984, -0.09363006363250315, -0.17677946500480174, 0.2845916754603386, -0.029397837456315756, 0.3593262588605285, 0.043887161748018114, -0.01009960081987083, -0.03653212742693722, 0.10991791201755405, 0.04837136798352003, -0.12691838749399176, -0.03166068160766736, 0.20120177844475257, -0.1375977295525372, 0.16933464290201664, -0.4235621569156647, -0.17851410497911274, 0.045092274414375424, 0.12478537802025676, 0.15218614491075277, -0.06276053185388446, -0.3007889128923416, 0.07933261158084497, -0.16820091559924186, -0.10350114470708649, -0.04518897386267781, 0.029461185599677264, -0.056207146905362604, -0.26209229303896425, 0.1485461681596935, 0.09053289129212498, 0.09418392959370976, -0.06410971462877933, -0.19718018039315938, -0.0796671112868935, 0.04222214965894818, 0.05679788481071591, 0.0062587629482150076, 0.1939259171625599, -0.1526902046687901, -0.17144084263406695, 0.3135967248007655, -0.06689975380769465, -0.15761957177519798, 0.11182284646853805, -0.2324797452376224, -0.0983582958728075, 0.14051608413271605, 0.0543909047357738, 0.07331673511117696, -0.10211514928378165, 0.09973713685339317, -0.07343114758469164, 0.1462056946232915, -0.009539564061909913, 0.07327513408660889, 0.2529488538447767, 0.11304584525804967, 0.06545202185586095, 0.12897688866592943, -0.12669118463993073, -0.1022936353981495, -0.3051168213188648, -0.13193101946264504, -0.24921472098864614, 0.16120631795749069, -0.06776222337398212, -0.21356340461596846, 0.3920732466690242, 0.18912821076996625, 0.17562758802250028, 0.07025996623560786, 0.2523739137426019, 0.18038948162365706, 0.03702526515349746, 0.06593904535472393, 0.24144377654977142, 0.2047307776287198, 0.08264943673461676, -0.3240992037411779, 0.08154645021259785, -0.03347933979704976] |
711.1006 | Continuous extension of a densely parameterized semigroup | Let S be a dense sub-semigroup of the positive real numbers, and let X be a
separable, reflexive Banach space. This note contains a proof that every weakly
continuous contractive semigroup of operators on X over S can be extended to a
weakly continuous semigroup over the positive real numbers. We obtain similar
results for non-linear, non-expansive semigroups as well. As a corollary we
characterize all densely parametrized semigroups which are extendable to
semigroups over the positive real numbers.
| math.FA | let s be a dense subsemigroup of the positive real numbers and let x be a separable reflexive banach space this note contains a proof that every weakly continuous contractive semigroup of operators on x over s can be extended to a weakly continuous semigroup over the positive real numbers we obtain similar results for nonlinear nonexpansive semigroups as well as a corollary we characterize all densely parametrized semigroups which are extendable to semigroups over the positive real numbers | [['let', 's', 'be', 'a', 'dense', 'subsemigroup', 'of', 'the', 'positive', 'real', 'numbers', 'and', 'let', 'x', 'be', 'a', 'separable', 'reflexive', 'banach', 'space', 'this', 'note', 'contains', 'a', 'proof', 'that', 'every', 'weakly', 'continuous', 'contractive', 'semigroup', 'of', 'operators', 'on', 'x', 'over', 's', 'can', 'be', 'extended', 'to', 'a', 'weakly', 'continuous', 'semigroup', 'over', 'the', 'positive', 'real', 'numbers', 'we', 'obtain', 'similar', 'results', 'for', 'nonlinear', 'nonexpansive', 'semigroups', 'as', 'well', 'as', 'a', 'corollary', 'we', 'characterize', 'all', 'densely', 'parametrized', 'semigroups', 'which', 'are', 'extendable', 'to', 'semigroups', 'over', 'the', 'positive', 'real', 'numbers']] | [-0.12591870246997364, 0.17650128409039537, -0.03881681237747021, 0.0797038542746295, -0.08419228182174265, -0.1327000331263282, 0.006479311357193355, 0.3789917746959608, -0.37453363496291486, -0.10130945624653957, 0.13728343767314394, -0.32184641899045885, -0.11833185947771314, 0.291988226714768, -0.10539355956583837, -0.018883059874082668, 0.052753285970538855, 0.11401404813751712, -0.1286273069865412, -0.2692670171322961, 0.3682802552593094, -0.10464173277156262, 0.09133082821587973, 0.04778686210607426, 0.14285408067693817, -0.010463024884509512, -0.005436772415768119, 0.054865436816714776, -0.11353380981984892, 0.06989609763686415, 0.36887341006835805, 0.1157239443457485, 0.30462531955276106, -0.31999195810765485, -0.1893652232033731, 0.31035811434016575, 0.10366324241614983, -0.11054234060052122, -0.009573548193726264, -0.3297744578905875, 0.1407161250745854, -0.17095778270659945, -0.0953481863429652, -0.17545143679916103, 0.10099694403949418, 0.06005635414319702, -0.36496981820445273, -0.024254874497227654, 0.12331314817737034, 0.08664975318869081, -0.04932226630257843, -0.05929962588073332, -0.08584785834838977, 0.04896870695785442, -0.09257065877318382, 0.0763722902688469, 0.07595071600841452, 0.06576123319402678, -0.11660796508216593, 0.32426346465945244, -0.09727333899870326, -0.2511910024110841, 0.17457319636935298, -0.2410830417176402, -0.0982484756143693, 0.1520044294339192, 0.14814715910867987, 0.2120154232989195, -0.04275448671601052, 0.22289166993187456, -0.23625238074131216, 0.1358217156574696, 0.047682844226902846, 0.021503356715687847, 0.141837835052534, 0.09137974677701728, 0.1528037385189835, 0.15028066155530181, 0.12972748960674846, -0.0010065213553135909, -0.380422507153376, -0.16602918507879058, -0.1864817788178997, 0.19823317485566758, -0.09441641670975191, -0.21621099578900427, 0.3759930567591911, 0.059394347699524105, 0.21255114207138556, 0.15593615037689718, 0.1589752459674602, 0.09389016145097587, 0.01115884992022869, 0.08193546688019097, -0.018648770225198962, 0.21596502137806597, 0.0073618400396920644, -0.08000510811947192, -0.009205657764797724, 0.19556175655673577] |
711.1007 | Light Scalar Mesons in the QCD Sum Rule | We study the light scalar mesons in the QCD sum rule. We find that there are
five independent scalar tetraquark currents in the local form, and we perform
QCD sum rule analysis using both these currents and their combinations.
Compared with the sum rules by conventional \bar{q} q currents, our result
supports a tetraquark structure for low-lying scalar mesons.
| hep-ph | we study the light scalar mesons in the qcd sum rule we find that there are five independent scalar tetraquark currents in the local form and we perform qcd sum rule analysis using both these currents and their combinations compared with the sum rules by conventional barq q currents our result supports a tetraquark structure for lowlying scalar mesons | [['we', 'study', 'the', 'light', 'scalar', 'mesons', 'in', 'the', 'qcd', 'sum', 'rule', 'we', 'find', 'that', 'there', 'are', 'five', 'independent', 'scalar', 'tetraquark', 'currents', 'in', 'the', 'local', 'form', 'and', 'we', 'perform', 'qcd', 'sum', 'rule', 'analysis', 'using', 'both', 'these', 'currents', 'and', 'their', 'combinations', 'compared', 'with', 'the', 'sum', 'rules', 'by', 'conventional', 'barq', 'q', 'currents', 'our', 'result', 'supports', 'a', 'tetraquark', 'structure', 'for', 'lowlying', 'scalar', 'mesons']] | [-0.1386652294688432, 0.2028891950435305, -0.06932289862089742, 0.11221727927736307, -0.069613248046677, -0.10998318872367174, 0.12816961783268568, 0.38276670219660813, -0.14352917803798693, -0.1648409954445847, -0.018317023304022722, -0.3072252399209192, -0.10745693784270247, 0.05071066395711091, 0.15098722506377657, 0.07315813720036866, 0.052968871925752295, 0.028019628369138908, -0.05962674856043847, -0.21940052155326356, 0.36440393783278385, -0.123050948068247, 0.22616106064958594, 0.1261986834391699, -0.005149432568479393, 0.033094979412222315, -0.05888017601633476, -0.03752687035160045, -0.05825040149721968, 0.07566117594744694, 0.19157992699183524, 0.1163203896513412, 0.11581601891114171, -0.3668371317276763, -0.15013148499873735, 0.1560601615425894, 0.16626266543990223, 0.0764671062845421, 0.02715429417015511, -0.2602430112912493, 0.163068118213155, -0.21134414564881285, -0.1239399952869231, -0.2419266365942056, -0.059325759634533425, -0.013567537933556457, -0.3697872494901846, 0.10970096035970975, -0.04250329941258592, 0.051391826390083564, -0.06718841856898014, -0.3063268700567216, -0.013158612635965317, 0.018638487913156466, 0.11076654214411974, 0.0773405870856812, 0.15403934516865064, -0.18727468810502, -0.20968064241766363, 0.3794361643366895, -0.10611707319395017, -0.2632228092219428, 0.0811058337468717, -0.1112870571708654, -0.09754062141686426, 0.07396214941548089, 0.10700637743003287, 0.12542076257325835, -0.14078196916449026, 0.060434175621702384, -0.09319173771951159, 0.11652506758474697, 0.09598319995674794, 0.11081090770756542, 0.30315456747756164, 0.10114420242449743, -0.04850722776757459, 0.10054898326742952, 0.015035171416919615, -0.12385176694399472, -0.4184739365226636, -0.10515869629837699, -0.0943231725812716, 0.10905061085447985, -0.09554379318112713, -0.10009381249231303, 0.3913272484245126, 0.033288960163560456, 0.21413350488124336, 0.054917835788327755, 0.31945399523286494, 0.1245660754966439, 0.10985887747936708, 0.14447245895231176, 0.2924520597138079, 0.2346445078985229, 0.13171770112683712, -0.28936745331354313, -0.10469488629881861, 0.08609936207580238] |
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